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Finding the Fourth Proportional to 4,155.67, 5,734.41 and 2,899.42

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Solution

The fourth proportional to 4,155.67, 5,734.41 and 2,899.42 is: 4,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.67 : 5,734.41 = 2,899.42 : x
  2. Step 2: Convert to fraction form
    4,155.67/5,734.41 = 2,899.42/x
  3. Step 3: Cross multiply
    4,155.67x = 5,734.41 × 2,899.42
  4. Step 4: Simplify right side
    4,155.67x = 16,626,476.25
  5. Step 5: Solve for x
    x = 16,626,476.25/4,155.67
  6. Step 6: Final answer
    x = 4,000.92

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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.