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Finding the Fourth Proportional to 4,089.60, 5,644.80 and 3,945.60

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Solution

The fourth proportional to 4,089.60, 5,644.80 and 3,945.60 is: 5,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.60 : 5,644.80 = 3,945.60 : x
  2. Step 2: Convert to fraction form
    4,089.60/5,644.80 = 3,945.60/x
  3. Step 3: Cross multiply
    4,089.60x = 5,644.80 × 3,945.60
  4. Step 4: Simplify right side
    4,089.60x = 22,272,122.88
  5. Step 5: Solve for x
    x = 22,272,122.88/4,089.60
  6. Step 6: Final answer
    x = 5,446.04

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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.