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Finding the Fourth Proportional to 5,047.38, 7,572.33 and 1,760.50

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Solution

The fourth proportional to 5,047.38, 7,572.33 and 1,760.50 is: 2,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.38 : 7,572.33 = 1,760.50 : x
  2. Step 2: Convert to fraction form
    5,047.38/7,572.33 = 1,760.50/x
  3. Step 3: Cross multiply
    5,047.38x = 7,572.33 × 1,760.50
  4. Step 4: Simplify right side
    5,047.38x = 13,331,086.97
  5. Step 5: Solve for x
    x = 13,331,086.97/5,047.38
  6. Step 6: Final answer
    x = 2,641.19

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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.