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Finding the Fourth Proportional to 5,861.54, 8,088.95 and 3,209.20

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Solution

The fourth proportional to 5,861.54, 8,088.95 and 3,209.20 is: 4,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.54 : 8,088.95 = 3,209.20 : x
  2. Step 2: Convert to fraction form
    5,861.54/8,088.95 = 3,209.20/x
  3. Step 3: Cross multiply
    5,861.54x = 8,088.95 × 3,209.20
  4. Step 4: Simplify right side
    5,861.54x = 25,959,058.34
  5. Step 5: Solve for x
    x = 25,959,058.34/5,861.54
  6. Step 6: Final answer
    x = 4,428.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.