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Finding the Fourth Proportional to 5,659.20, 8,489.60 and 1,763.20

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Solution

The fourth proportional to 5,659.20, 8,489.60 and 1,763.20 is: 2,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.20 : 8,489.60 = 1,763.20 : x
  2. Step 2: Convert to fraction form
    5,659.20/8,489.60 = 1,763.20/x
  3. Step 3: Cross multiply
    5,659.20x = 8,489.60 × 1,763.20
  4. Step 4: Simplify right side
    5,659.20x = 14,968,862.72
  5. Step 5: Solve for x
    x = 14,968,862.72/5,659.20
  6. Step 6: Final answer
    x = 2,645.05

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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.