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Finding the Fourth Proportional to 4,005.80, 5,999.42 and 3,867.40

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Solution

The fourth proportional to 4,005.80, 5,999.42 and 3,867.40 is: 5,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.80 : 5,999.42 = 3,867.40 : x
  2. Step 2: Convert to fraction form
    4,005.80/5,999.42 = 3,867.40/x
  3. Step 3: Cross multiply
    4,005.80x = 5,999.42 × 3,867.40
  4. Step 4: Simplify right side
    4,005.80x = 23,202,156.91
  5. Step 5: Solve for x
    x = 23,202,156.91/4,005.80
  6. Step 6: Final answer
    x = 5,792.14

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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.