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Finding the Fourth Proportional to 4,337.85, 6,514.83 and 2,259.29

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Solution

The fourth proportional to 4,337.85, 6,514.83 and 2,259.29 is: 3,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.85 : 6,514.83 = 2,259.29 : x
  2. Step 2: Convert to fraction form
    4,337.85/6,514.83 = 2,259.29/x
  3. Step 3: Cross multiply
    4,337.85x = 6,514.83 × 2,259.29
  4. Step 4: Simplify right side
    4,337.85x = 14,718,906.56
  5. Step 5: Solve for x
    x = 14,718,906.56/4,337.85
  6. Step 6: Final answer
    x = 3,393.13

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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.