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Finding the Fourth Proportional to 5,971.46, 8,242.88 and 3,981.29

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Solution

The fourth proportional to 5,971.46, 8,242.88 and 3,981.29 is: 5,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.46 : 8,242.88 = 3,981.29 : x
  2. Step 2: Convert to fraction form
    5,971.46/8,242.88 = 3,981.29/x
  3. Step 3: Cross multiply
    5,971.46x = 8,242.88 × 3,981.29
  4. Step 4: Simplify right side
    5,971.46x = 32,817,234.59
  5. Step 5: Solve for x
    x = 32,817,234.59/5,971.46
  6. Step 6: Final answer
    x = 5,495.68

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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.