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Finding the Fourth Proportional to 3,411.46, 5,117.48 and 1,463.20

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Solution

The fourth proportional to 3,411.46, 5,117.48 and 1,463.20 is: 2,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.46 : 5,117.48 = 1,463.20 : x
  2. Step 2: Convert to fraction form
    3,411.46/5,117.48 = 1,463.20/x
  3. Step 3: Cross multiply
    3,411.46x = 5,117.48 × 1,463.20
  4. Step 4: Simplify right side
    3,411.46x = 7,487,896.74
  5. Step 5: Solve for x
    x = 7,487,896.74/3,411.46
  6. Step 6: Final answer
    x = 2,194.92

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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.