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Finding the Fourth Proportional to 4,189.88, 5,792.84 and 4,006.28

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Solution

The fourth proportional to 4,189.88, 5,792.84 and 4,006.28 is: 5,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.88 : 5,792.84 = 4,006.28 : x
  2. Step 2: Convert to fraction form
    4,189.88/5,792.84 = 4,006.28/x
  3. Step 3: Cross multiply
    4,189.88x = 5,792.84 × 4,006.28
  4. Step 4: Simplify right side
    4,189.88x = 23,207,690.04
  5. Step 5: Solve for x
    x = 23,207,690.04/4,189.88
  6. Step 6: Final answer
    x = 5,538.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.