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Finding the Fourth Proportional to 3,451.46, 5,176.32 and 986.30

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Solution

The fourth proportional to 3,451.46, 5,176.32 and 986.30 is: 1,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.46 : 5,176.32 = 986.30 : x
  2. Step 2: Convert to fraction form
    3,451.46/5,176.32 = 986.30/x
  3. Step 3: Cross multiply
    3,451.46x = 5,176.32 × 986.30
  4. Step 4: Simplify right side
    3,451.46x = 5,105,378.53
  5. Step 5: Solve for x
    x = 5,105,378.53/3,451.46
  6. Step 6: Final answer
    x = 1,479.20

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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.