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Finding the Fourth Proportional to 3,514.67, 4,844.26 and 3,216.74

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Solution

The fourth proportional to 3,514.67, 4,844.26 and 3,216.74 is: 4,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.67 : 4,844.26 = 3,216.74 : x
  2. Step 2: Convert to fraction form
    3,514.67/4,844.26 = 3,216.74/x
  3. Step 3: Cross multiply
    3,514.67x = 4,844.26 × 3,216.74
  4. Step 4: Simplify right side
    3,514.67x = 15,582,686.62
  5. Step 5: Solve for x
    x = 15,582,686.62/3,514.67
  6. Step 6: Final answer
    x = 4,433.61

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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.