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Finding the Fourth Proportional to 5,659.40, 8,489.34 and 1,763.88

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Solution

The fourth proportional to 5,659.40, 8,489.34 and 1,763.88 is: 2,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.40 : 8,489.34 = 1,763.88 : x
  2. Step 2: Convert to fraction form
    5,659.40/8,489.34 = 1,763.88/x
  3. Step 3: Cross multiply
    5,659.40x = 8,489.34 × 1,763.88
  4. Step 4: Simplify right side
    5,659.40x = 14,974,177.04
  5. Step 5: Solve for x
    x = 14,974,177.04/5,659.40
  6. Step 6: Final answer
    x = 2,645.89

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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.