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Finding the Fourth Proportional to 3,971.90, 5,474.96 and 3,024.68

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Solution

The fourth proportional to 3,971.90, 5,474.96 and 3,024.68 is: 4,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.90 : 5,474.96 = 3,024.68 : x
  2. Step 2: Convert to fraction form
    3,971.90/5,474.96 = 3,024.68/x
  3. Step 3: Cross multiply
    3,971.90x = 5,474.96 × 3,024.68
  4. Step 4: Simplify right side
    3,971.90x = 16,559,970.86
  5. Step 5: Solve for x
    x = 16,559,970.86/3,971.90
  6. Step 6: Final answer
    x = 4,169.28

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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.