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Finding the Fourth Proportional to 5,862.24, 8,793.36 and 2,164.59

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Solution

The fourth proportional to 5,862.24, 8,793.36 and 2,164.59 is: 3,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.24 : 8,793.36 = 2,164.59 : x
  2. Step 2: Convert to fraction form
    5,862.24/8,793.36 = 2,164.59/x
  3. Step 3: Cross multiply
    5,862.24x = 8,793.36 × 2,164.59
  4. Step 4: Simplify right side
    5,862.24x = 19,034,019.12
  5. Step 5: Solve for x
    x = 19,034,019.12/5,862.24
  6. Step 6: Final answer
    x = 3,246.89

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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.