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Finding the Fourth Proportional to 5,136.32, 7,711.77 and 4,901.42

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Solution

The fourth proportional to 5,136.32, 7,711.77 and 4,901.42 is: 7,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.32 : 7,711.77 = 4,901.42 : x
  2. Step 2: Convert to fraction form
    5,136.32/7,711.77 = 4,901.42/x
  3. Step 3: Cross multiply
    5,136.32x = 7,711.77 × 4,901.42
  4. Step 4: Simplify right side
    5,136.32x = 37,798,623.71
  5. Step 5: Solve for x
    x = 37,798,623.71/5,136.32
  6. Step 6: Final answer
    x = 7,359.09

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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.