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Finding the Fourth Proportional to 3,411.18, 5,107.05 and 2,891.16

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Solution

The fourth proportional to 3,411.18, 5,107.05 and 2,891.16 is: 4,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.18 : 5,107.05 = 2,891.16 : x
  2. Step 2: Convert to fraction form
    3,411.18/5,107.05 = 2,891.16/x
  3. Step 3: Cross multiply
    3,411.18x = 5,107.05 × 2,891.16
  4. Step 4: Simplify right side
    3,411.18x = 14,765,298.68
  5. Step 5: Solve for x
    x = 14,765,298.68/3,411.18
  6. Step 6: Final answer
    x = 4,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.