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Finding the Fourth Proportional to 5,869.67, 8,789.01 and 4,116.83

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Solution

The fourth proportional to 5,869.67, 8,789.01 and 4,116.83 is: 6,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.67 : 8,789.01 = 4,116.83 : x
  2. Step 2: Convert to fraction form
    5,869.67/8,789.01 = 4,116.83/x
  3. Step 3: Cross multiply
    5,869.67x = 8,789.01 × 4,116.83
  4. Step 4: Simplify right side
    5,869.67x = 36,182,800.66
  5. Step 5: Solve for x
    x = 36,182,800.66/5,869.67
  6. Step 6: Final answer
    x = 6,164.37

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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.