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Finding the Fourth Proportional to 3,974.19, 5,962.10 and 1,508.55

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Solution

The fourth proportional to 3,974.19, 5,962.10 and 1,508.55 is: 2,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.19 : 5,962.10 = 1,508.55 : x
  2. Step 2: Convert to fraction form
    3,974.19/5,962.10 = 1,508.55/x
  3. Step 3: Cross multiply
    3,974.19x = 5,962.10 × 1,508.55
  4. Step 4: Simplify right side
    3,974.19x = 8,994,118.41
  5. Step 5: Solve for x
    x = 8,994,118.41/3,974.19
  6. Step 6: Final answer
    x = 2,263.13

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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.