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Finding the Fourth Proportional to 4,014.72, 6,020.19 and 2,259

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Solution

The fourth proportional to 4,014.72, 6,020.19 and 2,259 is: 3,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.72 : 6,020.19 = 2,259 : x
  2. Step 2: Convert to fraction form
    4,014.72/6,020.19 = 2,259/x
  3. Step 3: Cross multiply
    4,014.72x = 6,020.19 × 2,259
  4. Step 4: Simplify right side
    4,014.72x = 13,599,609.21
  5. Step 5: Solve for x
    x = 13,599,609.21/4,014.72
  6. Step 6: Final answer
    x = 3,387.44

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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.