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Finding the Fourth Proportional to 5,377.66, 7,428.65 and 5,114.92

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Solution

The fourth proportional to 5,377.66, 7,428.65 and 5,114.92 is: 7,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.66 : 7,428.65 = 5,114.92 : x
  2. Step 2: Convert to fraction form
    5,377.66/7,428.65 = 5,114.92/x
  3. Step 3: Cross multiply
    5,377.66x = 7,428.65 × 5,114.92
  4. Step 4: Simplify right side
    5,377.66x = 37,996,906.31
  5. Step 5: Solve for x
    x = 37,996,906.31/5,377.66
  6. Step 6: Final answer
    x = 7,065.70

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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.