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Finding the Fourth Proportional to 3,411.32, 5,116.06 and 1,463.06

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Solution

The fourth proportional to 3,411.32, 5,116.06 and 1,463.06 is: 2,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.32 : 5,116.06 = 1,463.06 : x
  2. Step 2: Convert to fraction form
    3,411.32/5,116.06 = 1,463.06/x
  3. Step 3: Cross multiply
    3,411.32x = 5,116.06 × 1,463.06
  4. Step 4: Simplify right side
    3,411.32x = 7,485,117.36
  5. Step 5: Solve for x
    x = 7,485,117.36/3,411.32
  6. Step 6: Final answer
    x = 2,194.20

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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.