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Finding the Fourth Proportional to 4,876.88, 7,315.52 and 1,414.13

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Solution

The fourth proportional to 4,876.88, 7,315.52 and 1,414.13 is: 2,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.88 : 7,315.52 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    4,876.88/7,315.52 = 1,414.13/x
  3. Step 3: Cross multiply
    4,876.88x = 7,315.52 × 1,414.13
  4. Step 4: Simplify right side
    4,876.88x = 10,345,052.65
  5. Step 5: Solve for x
    x = 10,345,052.65/4,876.88
  6. Step 6: Final answer
    x = 2,121.25

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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.