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Finding the Fourth Proportional to 5,324.34, 7,987.95 and 1,861.86

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Solution

The fourth proportional to 5,324.34, 7,987.95 and 1,861.86 is: 2,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.34 : 7,987.95 = 1,861.86 : x
  2. Step 2: Convert to fraction form
    5,324.34/7,987.95 = 1,861.86/x
  3. Step 3: Cross multiply
    5,324.34x = 7,987.95 × 1,861.86
  4. Step 4: Simplify right side
    5,324.34x = 14,872,444.59
  5. Step 5: Solve for x
    x = 14,872,444.59/5,324.34
  6. Step 6: Final answer
    x = 2,793.29

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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.