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Finding the Fourth Proportional to 4,233.60, 5,875.20 and 4,147.20

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Solution

The fourth proportional to 4,233.60, 5,875.20 and 4,147.20 is: 5,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.60 : 5,875.20 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    4,233.60/5,875.20 = 4,147.20/x
  3. Step 3: Cross multiply
    4,233.60x = 5,875.20 × 4,147.20
  4. Step 4: Simplify right side
    4,233.60x = 24,365,629.44
  5. Step 5: Solve for x
    x = 24,365,629.44/4,233.60
  6. Step 6: Final answer
    x = 5,755.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.