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Finding the Fourth Proportional to 5,470.91, 8,154.39 and 5,159.55

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Solution

The fourth proportional to 5,470.91, 8,154.39 and 5,159.55 is: 7,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.91 : 8,154.39 = 5,159.55 : x
  2. Step 2: Convert to fraction form
    5,470.91/8,154.39 = 5,159.55/x
  3. Step 3: Cross multiply
    5,470.91x = 8,154.39 × 5,159.55
  4. Step 4: Simplify right side
    5,470.91x = 42,072,957.13
  5. Step 5: Solve for x
    x = 42,072,957.13/5,470.91
  6. Step 6: Final answer
    x = 7,690.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.