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Finding the Fourth Proportional to 3,337.68, 4,602.24 and 3,136.80

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Solution

The fourth proportional to 3,337.68, 4,602.24 and 3,136.80 is: 4,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.68 : 4,602.24 = 3,136.80 : x
  2. Step 2: Convert to fraction form
    3,337.68/4,602.24 = 3,136.80/x
  3. Step 3: Cross multiply
    3,337.68x = 4,602.24 × 3,136.80
  4. Step 4: Simplify right side
    3,337.68x = 14,436,306.43
  5. Step 5: Solve for x
    x = 14,436,306.43/3,337.68
  6. Step 6: Final answer
    x = 4,325.25

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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.