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Finding the Fourth Proportional to 4,891.86, 6,739.36 and 4,002.48

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Solution

The fourth proportional to 4,891.86, 6,739.36 and 4,002.48 is: 5,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.86 : 6,739.36 = 4,002.48 : x
  2. Step 2: Convert to fraction form
    4,891.86/6,739.36 = 4,002.48/x
  3. Step 3: Cross multiply
    4,891.86x = 6,739.36 × 4,002.48
  4. Step 4: Simplify right side
    4,891.86x = 26,974,153.61
  5. Step 5: Solve for x
    x = 26,974,153.61/4,891.86
  6. Step 6: Final answer
    x = 5,514.09

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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.