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Finding the Fourth Proportional to 4,514.78, 6,772.97 and 1,594.78

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Solution

The fourth proportional to 4,514.78, 6,772.97 and 1,594.78 is: 2,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.78 : 6,772.97 = 1,594.78 : x
  2. Step 2: Convert to fraction form
    4,514.78/6,772.97 = 1,594.78/x
  3. Step 3: Cross multiply
    4,514.78x = 6,772.97 × 1,594.78
  4. Step 4: Simplify right side
    4,514.78x = 10,801,397.10
  5. Step 5: Solve for x
    x = 10,801,397.10/4,514.78
  6. Step 6: Final answer
    x = 2,392.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.