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Finding the Fourth Proportional to 4,610.57, 6,362.64 and 2,514.69

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Solution

The fourth proportional to 4,610.57, 6,362.64 and 2,514.69 is: 3,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.57 : 6,362.64 = 2,514.69 : x
  2. Step 2: Convert to fraction form
    4,610.57/6,362.64 = 2,514.69/x
  3. Step 3: Cross multiply
    4,610.57x = 6,362.64 × 2,514.69
  4. Step 4: Simplify right side
    4,610.57x = 16,000,067.18
  5. Step 5: Solve for x
    x = 16,000,067.18/4,610.57
  6. Step 6: Final answer
    x = 3,470.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.