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Finding the Fourth Proportional to 3,446.64, 5,170.00 and 981.46

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Solution

The fourth proportional to 3,446.64, 5,170.00 and 981.46 is: 1,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.64 : 5,170.00 = 981.46 : x
  2. Step 2: Convert to fraction form
    3,446.64/5,170.00 = 981.46/x
  3. Step 3: Cross multiply
    3,446.64x = 5,170.00 × 981.46
  4. Step 4: Simplify right side
    3,446.64x = 5,074,156.14
  5. Step 5: Solve for x
    x = 5,074,156.14/3,446.64
  6. Step 6: Final answer
    x = 1,472.20

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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.