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Finding the Fourth Proportional to 5,575.47, 7,694.16 and 3,152.70

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Solution

The fourth proportional to 5,575.47, 7,694.16 and 3,152.70 is: 4,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.47 : 7,694.16 = 3,152.70 : x
  2. Step 2: Convert to fraction form
    5,575.47/7,694.16 = 3,152.70/x
  3. Step 3: Cross multiply
    5,575.47x = 7,694.16 × 3,152.70
  4. Step 4: Simplify right side
    5,575.47x = 24,257,378.23
  5. Step 5: Solve for x
    x = 24,257,378.23/5,575.47
  6. Step 6: Final answer
    x = 4,350.73

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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.