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Finding the Fourth Proportional to 3,614.12, 4,981.71 and 2,949.83

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Solution

The fourth proportional to 3,614.12, 4,981.71 and 2,949.83 is: 4,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.12 : 4,981.71 = 2,949.83 : x
  2. Step 2: Convert to fraction form
    3,614.12/4,981.71 = 2,949.83/x
  3. Step 3: Cross multiply
    3,614.12x = 4,981.71 × 2,949.83
  4. Step 4: Simplify right side
    3,614.12x = 14,695,157.95
  5. Step 5: Solve for x
    x = 14,695,157.95/3,614.12
  6. Step 6: Final answer
    x = 4,066.05

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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.