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Finding the Fourth Proportional to 4,155.26, 5,734.26 and 2,663.19

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Solution

The fourth proportional to 4,155.26, 5,734.26 and 2,663.19 is: 3,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.26 : 5,734.26 = 2,663.19 : x
  2. Step 2: Convert to fraction form
    4,155.26/5,734.26 = 2,663.19/x
  3. Step 3: Cross multiply
    4,155.26x = 5,734.26 × 2,663.19
  4. Step 4: Simplify right side
    4,155.26x = 15,271,423.89
  5. Step 5: Solve for x
    x = 15,271,423.89/4,155.26
  6. Step 6: Final answer
    x = 3,675.21

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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.