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Finding the Fourth Proportional to 5,489.38, 7,574.34 and 3,251.35

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Solution

The fourth proportional to 5,489.38, 7,574.34 and 3,251.35 is: 4,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.38 : 7,574.34 = 3,251.35 : x
  2. Step 2: Convert to fraction form
    5,489.38/7,574.34 = 3,251.35/x
  3. Step 3: Cross multiply
    5,489.38x = 7,574.34 × 3,251.35
  4. Step 4: Simplify right side
    5,489.38x = 24,626,830.36
  5. Step 5: Solve for x
    x = 24,626,830.36/5,489.38
  6. Step 6: Final answer
    x = 4,486.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.