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Finding the Fourth Proportional to 5,294.15, 7,930.46 and 3,439.64

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Solution

The fourth proportional to 5,294.15, 7,930.46 and 3,439.64 is: 5,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.15 : 7,930.46 = 3,439.64 : x
  2. Step 2: Convert to fraction form
    5,294.15/7,930.46 = 3,439.64/x
  3. Step 3: Cross multiply
    5,294.15x = 7,930.46 × 3,439.64
  4. Step 4: Simplify right side
    5,294.15x = 27,277,927.43
  5. Step 5: Solve for x
    x = 27,277,927.43/5,294.15
  6. Step 6: Final answer
    x = 5,152.47

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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.