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Finding the Fourth Proportional to 3,458, 5,187.12 and 1,149.44

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Solution

The fourth proportional to 3,458, 5,187.12 and 1,149.44 is: 1,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458 : 5,187.12 = 1,149.44 : x
  2. Step 2: Convert to fraction form
    3,458/5,187.12 = 1,149.44/x
  3. Step 3: Cross multiply
    3,458x = 5,187.12 × 1,149.44
  4. Step 4: Simplify right side
    3,458x = 5,962,283.21
  5. Step 5: Solve for x
    x = 5,962,283.21/3,458
  6. Step 6: Final answer
    x = 1,724.20

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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.