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Finding the Fourth Proportional to 5,292.40, 7,938.96 and 2,694.64

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Solution

The fourth proportional to 5,292.40, 7,938.96 and 2,694.64 is: 4,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.40 : 7,938.96 = 2,694.64 : x
  2. Step 2: Convert to fraction form
    5,292.40/7,938.96 = 2,694.64/x
  3. Step 3: Cross multiply
    5,292.40x = 7,938.96 × 2,694.64
  4. Step 4: Simplify right side
    5,292.40x = 21,392,639.17
  5. Step 5: Solve for x
    x = 21,392,639.17/5,292.40
  6. Step 6: Final answer
    x = 4,042.14

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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.