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Finding the Fourth Proportional to 4,136.47, 5,709.65 and 2,648.39

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Solution

The fourth proportional to 4,136.47, 5,709.65 and 2,648.39 is: 3,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.47 : 5,709.65 = 2,648.39 : x
  2. Step 2: Convert to fraction form
    4,136.47/5,709.65 = 2,648.39/x
  3. Step 3: Cross multiply
    4,136.47x = 5,709.65 × 2,648.39
  4. Step 4: Simplify right side
    4,136.47x = 15,121,338.17
  5. Step 5: Solve for x
    x = 15,121,338.17/4,136.47
  6. Step 6: Final answer
    x = 3,655.62

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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.