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Finding the Fourth Proportional to 2,739,905.10, 3,842,165.70 and 2,739,905.10

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Solution

The fourth proportional to 2,739,905.10, 3,842,165.70 and 2,739,905.10 is: 3,842,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739,905.10 : 3,842,165.70 = 2,739,905.10 : x
  2. Step 2: Convert to fraction form
    2,739,905.10/3,842,165.70 = 2,739,905.10/x
  3. Step 3: Cross multiply
    2,739,905.10x = 3,842,165.70 × 2,739,905.10
  4. Step 4: Simplify right side
    2,739,905.10x = 10,527,169,396,475.07
  5. Step 5: Solve for x
    x = 10,527,169,396,475.07/2,739,905.10
  6. Step 6: Final answer
    x = 3,842,165.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.