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Finding the Fourth Proportional to 5,656.90, 8,489.40 and 3,189.10

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Solution

The fourth proportional to 5,656.90, 8,489.40 and 3,189.10 is: 4,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.90 : 8,489.40 = 3,189.10 : x
  2. Step 2: Convert to fraction form
    5,656.90/8,489.40 = 3,189.10/x
  3. Step 3: Cross multiply
    5,656.90x = 8,489.40 × 3,189.10
  4. Step 4: Simplify right side
    5,656.90x = 27,073,545.54
  5. Step 5: Solve for x
    x = 27,073,545.54/5,656.90
  6. Step 6: Final answer
    x = 4,785.93

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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.