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Finding the Fourth Proportional to 5,124.40, 7,694.70 and 3,747.40

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Solution

The fourth proportional to 5,124.40, 7,694.70 and 3,747.40 is: 5,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.40 : 7,694.70 = 3,747.40 : x
  2. Step 2: Convert to fraction form
    5,124.40/7,694.70 = 3,747.40/x
  3. Step 3: Cross multiply
    5,124.40x = 7,694.70 × 3,747.40
  4. Step 4: Simplify right side
    5,124.40x = 28,835,118.78
  5. Step 5: Solve for x
    x = 28,835,118.78/5,124.40
  6. Step 6: Final answer
    x = 5,627.02

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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.