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Finding the Fourth Proportional to 3,447.30, 5,171.15 and 981.93

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Solution

The fourth proportional to 3,447.30, 5,171.15 and 981.93 is: 1,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.30 : 5,171.15 = 981.93 : x
  2. Step 2: Convert to fraction form
    3,447.30/5,171.15 = 981.93/x
  3. Step 3: Cross multiply
    3,447.30x = 5,171.15 × 981.93
  4. Step 4: Simplify right side
    3,447.30x = 5,077,707.32
  5. Step 5: Solve for x
    x = 5,077,707.32/3,447.30
  6. Step 6: Final answer
    x = 1,472.95

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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.