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Finding the Fourth Proportional to 3,708.09, 5,117.18 and 2,136.15

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Solution

The fourth proportional to 3,708.09, 5,117.18 and 2,136.15 is: 2,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.09 : 5,117.18 = 2,136.15 : x
  2. Step 2: Convert to fraction form
    3,708.09/5,117.18 = 2,136.15/x
  3. Step 3: Cross multiply
    3,708.09x = 5,117.18 × 2,136.15
  4. Step 4: Simplify right side
    3,708.09x = 10,931,053.38
  5. Step 5: Solve for x
    x = 10,931,053.38/3,708.09
  6. Step 6: Final answer
    x = 2,947.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.