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Finding the Fourth Proportional to 4,881.60, 6,747.68 and 4,494.09

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Solution

The fourth proportional to 4,881.60, 6,747.68 and 4,494.09 is: 6,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.60 : 6,747.68 = 4,494.09 : x
  2. Step 2: Convert to fraction form
    4,881.60/6,747.68 = 4,494.09/x
  3. Step 3: Cross multiply
    4,881.60x = 6,747.68 × 4,494.09
  4. Step 4: Simplify right side
    4,881.60x = 30,324,681.21
  5. Step 5: Solve for x
    x = 30,324,681.21/4,881.60
  6. Step 6: Final answer
    x = 6,212.04

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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.