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Finding the Fourth Proportional to 5,047.47, 7,572.48 and 1,760.61

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Solution

The fourth proportional to 5,047.47, 7,572.48 and 1,760.61 is: 2,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.47 : 7,572.48 = 1,760.61 : x
  2. Step 2: Convert to fraction form
    5,047.47/7,572.48 = 1,760.61/x
  3. Step 3: Cross multiply
    5,047.47x = 7,572.48 × 1,760.61
  4. Step 4: Simplify right side
    5,047.47x = 13,332,184.01
  5. Step 5: Solve for x
    x = 13,332,184.01/5,047.47
  6. Step 6: Final answer
    x = 2,641.36

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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.