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Finding the Fourth Proportional to 5,148.54, 7,711.88 and 4,366.70

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Solution

The fourth proportional to 5,148.54, 7,711.88 and 4,366.70 is: 6,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.54 : 7,711.88 = 4,366.70 : x
  2. Step 2: Convert to fraction form
    5,148.54/7,711.88 = 4,366.70/x
  3. Step 3: Cross multiply
    5,148.54x = 7,711.88 × 4,366.70
  4. Step 4: Simplify right side
    5,148.54x = 33,675,406.00
  5. Step 5: Solve for x
    x = 33,675,406.00/5,148.54
  6. Step 6: Final answer
    x = 6,540.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.