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Finding the Fourth Proportional to 4,005.90, 6,009.15 and 1,084.16

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Solution

The fourth proportional to 4,005.90, 6,009.15 and 1,084.16 is: 1,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.90 : 6,009.15 = 1,084.16 : x
  2. Step 2: Convert to fraction form
    4,005.90/6,009.15 = 1,084.16/x
  3. Step 3: Cross multiply
    4,005.90x = 6,009.15 × 1,084.16
  4. Step 4: Simplify right side
    4,005.90x = 6,514,850.02
  5. Step 5: Solve for x
    x = 6,514,850.02/4,005.90
  6. Step 6: Final answer
    x = 1,626.31

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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.