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Finding the Fourth Proportional to 5,338.71, 7,363.31 and 3,546.99

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Solution

The fourth proportional to 5,338.71, 7,363.31 and 3,546.99 is: 4,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.71 : 7,363.31 = 3,546.99 : x
  2. Step 2: Convert to fraction form
    5,338.71/7,363.31 = 3,546.99/x
  3. Step 3: Cross multiply
    5,338.71x = 7,363.31 × 3,546.99
  4. Step 4: Simplify right side
    5,338.71x = 26,117,569.20
  5. Step 5: Solve for x
    x = 26,117,569.20/5,338.71
  6. Step 6: Final answer
    x = 4,892.11

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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.