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Finding the Fourth Proportional to 3,761.73, 5,643.25 and 1,572

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Solution

The fourth proportional to 3,761.73, 5,643.25 and 1,572 is: 2,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.73 : 5,643.25 = 1,572 : x
  2. Step 2: Convert to fraction form
    3,761.73/5,643.25 = 1,572/x
  3. Step 3: Cross multiply
    3,761.73x = 5,643.25 × 1,572
  4. Step 4: Simplify right side
    3,761.73x = 8,871,189
  5. Step 5: Solve for x
    x = 8,871,189/3,761.73
  6. Step 6: Final answer
    x = 2,358.27

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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.