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Finding the Fourth Proportional to 5,654.71, 8,480.49 and 3,571.66

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Solution

The fourth proportional to 5,654.71, 8,480.49 and 3,571.66 is: 5,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.71 : 8,480.49 = 3,571.66 : x
  2. Step 2: Convert to fraction form
    5,654.71/8,480.49 = 3,571.66/x
  3. Step 3: Cross multiply
    5,654.71x = 8,480.49 × 3,571.66
  4. Step 4: Simplify right side
    5,654.71x = 30,289,426.91
  5. Step 5: Solve for x
    x = 30,289,426.91/5,654.71
  6. Step 6: Final answer
    x = 5,356.50

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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.