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Finding the Fourth Proportional to 4,964.88, 7,447.32 and 2,045.28

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Solution

The fourth proportional to 4,964.88, 7,447.32 and 2,045.28 is: 3,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.88 : 7,447.32 = 2,045.28 : x
  2. Step 2: Convert to fraction form
    4,964.88/7,447.32 = 2,045.28/x
  3. Step 3: Cross multiply
    4,964.88x = 7,447.32 × 2,045.28
  4. Step 4: Simplify right side
    4,964.88x = 15,231,854.65
  5. Step 5: Solve for x
    x = 15,231,854.65/4,964.88
  6. Step 6: Final answer
    x = 3,067.92

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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.