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Finding the Fourth Proportional to 2,642,924.10, 3,692,122.13 and 2,642,924.10

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Solution

The fourth proportional to 2,642,924.10, 3,692,122.13 and 2,642,924.10 is: 3,692,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642,924.10 : 3,692,122.13 = 2,642,924.10 : x
  2. Step 2: Convert to fraction form
    2,642,924.10/3,692,122.13 = 2,642,924.10/x
  3. Step 3: Cross multiply
    2,642,924.10x = 3,692,122.13 × 2,642,924.10
  4. Step 4: Simplify right side
    2,642,924.10x = 9,757,998,544,305.71
  5. Step 5: Solve for x
    x = 9,757,998,544,305.71/2,642,924.10
  6. Step 6: Final answer
    x = 3,692,122.13

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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.