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Finding the Fourth Proportional to 4,514.38, 6,774 and 2,049.02

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Solution

The fourth proportional to 4,514.38, 6,774 and 2,049.02 is: 3,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.38 : 6,774 = 2,049.02 : x
  2. Step 2: Convert to fraction form
    4,514.38/6,774 = 2,049.02/x
  3. Step 3: Cross multiply
    4,514.38x = 6,774 × 2,049.02
  4. Step 4: Simplify right side
    4,514.38x = 13,880,061.48
  5. Step 5: Solve for x
    x = 13,880,061.48/4,514.38
  6. Step 6: Final answer
    x = 3,074.63

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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.