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Finding the Fourth Proportional to 5,685.70, 8,512.35 and 5,037.70

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Solution

The fourth proportional to 5,685.70, 8,512.35 and 5,037.70 is: 7,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.70 : 8,512.35 = 5,037.70 : x
  2. Step 2: Convert to fraction form
    5,685.70/8,512.35 = 5,037.70/x
  3. Step 3: Cross multiply
    5,685.70x = 8,512.35 × 5,037.70
  4. Step 4: Simplify right side
    5,685.70x = 42,882,665.60
  5. Step 5: Solve for x
    x = 42,882,665.60/5,685.70
  6. Step 6: Final answer
    x = 7,542.20

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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.