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Finding the Fourth Proportional to 3,722.62, 5,583.95 and 1,257.46

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Solution

The fourth proportional to 3,722.62, 5,583.95 and 1,257.46 is: 1,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.62 : 5,583.95 = 1,257.46 : x
  2. Step 2: Convert to fraction form
    3,722.62/5,583.95 = 1,257.46/x
  3. Step 3: Cross multiply
    3,722.62x = 5,583.95 × 1,257.46
  4. Step 4: Simplify right side
    3,722.62x = 7,021,593.77
  5. Step 5: Solve for x
    x = 7,021,593.77/3,722.62
  6. Step 6: Final answer
    x = 1,886.20

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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.