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Finding the Fourth Proportional to 4,005.85, 6,008.78 and 1,084.15

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Solution

The fourth proportional to 4,005.85, 6,008.78 and 1,084.15 is: 1,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.85 : 6,008.78 = 1,084.15 : x
  2. Step 2: Convert to fraction form
    4,005.85/6,008.78 = 1,084.15/x
  3. Step 3: Cross multiply
    4,005.85x = 6,008.78 × 1,084.15
  4. Step 4: Simplify right side
    4,005.85x = 6,514,418.84
  5. Step 5: Solve for x
    x = 6,514,418.84/4,005.85
  6. Step 6: Final answer
    x = 1,626.23

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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.