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Finding the Fourth Proportional to 4,255.60, 5,878.32 and 3,549.73

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Solution

The fourth proportional to 4,255.60, 5,878.32 and 3,549.73 is: 4,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.60 : 5,878.32 = 3,549.73 : x
  2. Step 2: Convert to fraction form
    4,255.60/5,878.32 = 3,549.73/x
  3. Step 3: Cross multiply
    4,255.60x = 5,878.32 × 3,549.73
  4. Step 4: Simplify right side
    4,255.60x = 20,866,448.85
  5. Step 5: Solve for x
    x = 20,866,448.85/4,255.60
  6. Step 6: Final answer
    x = 4,903.29

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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.