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Finding the Fourth Proportional to 3,659.20, 5,488.80 and 1,062.40

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Solution

The fourth proportional to 3,659.20, 5,488.80 and 1,062.40 is: 1,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.20 : 5,488.80 = 1,062.40 : x
  2. Step 2: Convert to fraction form
    3,659.20/5,488.80 = 1,062.40/x
  3. Step 3: Cross multiply
    3,659.20x = 5,488.80 × 1,062.40
  4. Step 4: Simplify right side
    3,659.20x = 5,831,301.12
  5. Step 5: Solve for x
    x = 5,831,301.12/3,659.20
  6. Step 6: Final answer
    x = 1,593.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.