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Finding the Fourth Proportional to 3,158.82, 4,738.80 and 1,514.22

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Solution

The fourth proportional to 3,158.82, 4,738.80 and 1,514.22 is: 2,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.82 : 4,738.80 = 1,514.22 : x
  2. Step 2: Convert to fraction form
    3,158.82/4,738.80 = 1,514.22/x
  3. Step 3: Cross multiply
    3,158.82x = 4,738.80 × 1,514.22
  4. Step 4: Simplify right side
    3,158.82x = 7,175,585.74
  5. Step 5: Solve for x
    x = 7,175,585.74/3,158.82
  6. Step 6: Final answer
    x = 2,271.60

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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.