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Finding the Fourth Proportional to 3,883,165.12, 5,827,372.10 and 1,358,842.24

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Solution

The fourth proportional to 3,883,165.12, 5,827,372.10 and 1,358,842.24 is: 2,039,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,165.12 : 5,827,372.10 = 1,358,842.24 : x
  2. Step 2: Convert to fraction form
    3,883,165.12/5,827,372.10 = 1,358,842.24/x
  3. Step 3: Cross multiply
    3,883,165.12x = 5,827,372.10 × 1,358,842.24
  4. Step 4: Simplify right side
    3,883,165.12x = 7,918,479,357,677.50
  5. Step 5: Solve for x
    x = 7,918,479,357,677.50/3,883,165.12
  6. Step 6: Final answer
    x = 2,039,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.