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Finding the Fourth Proportional to 4,006.13, 6,008.65 and 1,194.92

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Solution

The fourth proportional to 4,006.13, 6,008.65 and 1,194.92 is: 1,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.13 : 6,008.65 = 1,194.92 : x
  2. Step 2: Convert to fraction form
    4,006.13/6,008.65 = 1,194.92/x
  3. Step 3: Cross multiply
    4,006.13x = 6,008.65 × 1,194.92
  4. Step 4: Simplify right side
    4,006.13x = 7,179,845.56
  5. Step 5: Solve for x
    x = 7,179,845.56/4,006.13
  6. Step 6: Final answer
    x = 1,792.22

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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.