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Finding the Fourth Proportional to 6,002.40, 8,981.05 and 4,157.12

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Solution

The fourth proportional to 6,002.40, 8,981.05 and 4,157.12 is: 6,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.40 : 8,981.05 = 4,157.12 : x
  2. Step 2: Convert to fraction form
    6,002.40/8,981.05 = 4,157.12/x
  3. Step 3: Cross multiply
    6,002.40x = 8,981.05 × 4,157.12
  4. Step 4: Simplify right side
    6,002.40x = 37,335,334.12
  5. Step 5: Solve for x
    x = 37,335,334.12/6,002.40
  6. Step 6: Final answer
    x = 6,220.06

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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.