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Finding the Fourth Proportional to 4,449.84, 6,136.80 and 3,032.88

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Solution

The fourth proportional to 4,449.84, 6,136.80 and 3,032.88 is: 4,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.84 : 6,136.80 = 3,032.88 : x
  2. Step 2: Convert to fraction form
    4,449.84/6,136.80 = 3,032.88/x
  3. Step 3: Cross multiply
    4,449.84x = 6,136.80 × 3,032.88
  4. Step 4: Simplify right side
    4,449.84x = 18,612,177.98
  5. Step 5: Solve for x
    x = 18,612,177.98/4,449.84
  6. Step 6: Final answer
    x = 4,182.66

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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.