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Finding the Fourth Proportional to 4,136.77, 5,708.51 and 2,248.34

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Solution

The fourth proportional to 4,136.77, 5,708.51 and 2,248.34 is: 3,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.77 : 5,708.51 = 2,248.34 : x
  2. Step 2: Convert to fraction form
    4,136.77/5,708.51 = 2,248.34/x
  3. Step 3: Cross multiply
    4,136.77x = 5,708.51 × 2,248.34
  4. Step 4: Simplify right side
    4,136.77x = 12,834,684.78
  5. Step 5: Solve for x
    x = 12,834,684.78/4,136.77
  6. Step 6: Final answer
    x = 3,102.59

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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.