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Finding the Fourth Proportional to 5,140.40, 7,711.80 and 1,677.68

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Solution

The fourth proportional to 5,140.40, 7,711.80 and 1,677.68 is: 2,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.40 : 7,711.80 = 1,677.68 : x
  2. Step 2: Convert to fraction form
    5,140.40/7,711.80 = 1,677.68/x
  3. Step 3: Cross multiply
    5,140.40x = 7,711.80 × 1,677.68
  4. Step 4: Simplify right side
    5,140.40x = 12,937,932.62
  5. Step 5: Solve for x
    x = 12,937,932.62/5,140.40
  6. Step 6: Final answer
    x = 2,516.91

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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.