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Finding the Fourth Proportional to 5,041.71, 7,562.57 and 1,531.71

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Solution

The fourth proportional to 5,041.71, 7,562.57 and 1,531.71 is: 2,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.71 : 7,562.57 = 1,531.71 : x
  2. Step 2: Convert to fraction form
    5,041.71/7,562.57 = 1,531.71/x
  3. Step 3: Cross multiply
    5,041.71x = 7,562.57 × 1,531.71
  4. Step 4: Simplify right side
    5,041.71x = 11,583,632.59
  5. Step 5: Solve for x
    x = 11,583,632.59/5,041.71
  6. Step 6: Final answer
    x = 2,297.56

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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.