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Finding the Fourth Proportional to 4,477.68, 6,713.28 and 2,136.24

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Solution

The fourth proportional to 4,477.68, 6,713.28 and 2,136.24 is: 3,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.68 : 6,713.28 = 2,136.24 : x
  2. Step 2: Convert to fraction form
    4,477.68/6,713.28 = 2,136.24/x
  3. Step 3: Cross multiply
    4,477.68x = 6,713.28 × 2,136.24
  4. Step 4: Simplify right side
    4,477.68x = 14,341,177.27
  5. Step 5: Solve for x
    x = 14,341,177.27/4,477.68
  6. Step 6: Final answer
    x = 3,202.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.