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Finding the Fourth Proportional to 3,871.12, 5,807.28 and 1,562.56

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Solution

The fourth proportional to 3,871.12, 5,807.28 and 1,562.56 is: 2,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.12 : 5,807.28 = 1,562.56 : x
  2. Step 2: Convert to fraction form
    3,871.12/5,807.28 = 1,562.56/x
  3. Step 3: Cross multiply
    3,871.12x = 5,807.28 × 1,562.56
  4. Step 4: Simplify right side
    3,871.12x = 9,074,223.44
  5. Step 5: Solve for x
    x = 9,074,223.44/3,871.12
  6. Step 6: Final answer
    x = 2,344.08

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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.