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Finding the Fourth Proportional to 3,715.40, 5,136 and 2,976.68

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Solution

The fourth proportional to 3,715.40, 5,136 and 2,976.68 is: 4,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.40 : 5,136 = 2,976.68 : x
  2. Step 2: Convert to fraction form
    3,715.40/5,136 = 2,976.68/x
  3. Step 3: Cross multiply
    3,715.40x = 5,136 × 2,976.68
  4. Step 4: Simplify right side
    3,715.40x = 15,288,228.48
  5. Step 5: Solve for x
    x = 15,288,228.48/3,715.40
  6. Step 6: Final answer
    x = 4,114.83

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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.