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Finding the Fourth Proportional to 5,565.54, 7,680.51 and 3,470.88

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Solution

The fourth proportional to 5,565.54, 7,680.51 and 3,470.88 is: 4,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.54 : 7,680.51 = 3,470.88 : x
  2. Step 2: Convert to fraction form
    5,565.54/7,680.51 = 3,470.88/x
  3. Step 3: Cross multiply
    5,565.54x = 7,680.51 × 3,470.88
  4. Step 4: Simplify right side
    5,565.54x = 26,658,128.55
  5. Step 5: Solve for x
    x = 26,658,128.55/5,565.54
  6. Step 6: Final answer
    x = 4,789.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.