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Finding the Fourth Proportional to 4,709.52, 6,497.80 and 3,711.70

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Solution

The fourth proportional to 4,709.52, 6,497.80 and 3,711.70 is: 5,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.52 : 6,497.80 = 3,711.70 : x
  2. Step 2: Convert to fraction form
    4,709.52/6,497.80 = 3,711.70/x
  3. Step 3: Cross multiply
    4,709.52x = 6,497.80 × 3,711.70
  4. Step 4: Simplify right side
    4,709.52x = 24,117,884.26
  5. Step 5: Solve for x
    x = 24,117,884.26/4,709.52
  6. Step 6: Final answer
    x = 5,121.09

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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.