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Finding the Fourth Proportional to 4,155.25, 5,734.25 and 2,386.97

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Solution

The fourth proportional to 4,155.25, 5,734.25 and 2,386.97 is: 3,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.25 : 5,734.25 = 2,386.97 : x
  2. Step 2: Convert to fraction form
    4,155.25/5,734.25 = 2,386.97/x
  3. Step 3: Cross multiply
    4,155.25x = 5,734.25 × 2,386.97
  4. Step 4: Simplify right side
    4,155.25x = 13,687,482.72
  5. Step 5: Solve for x
    x = 13,687,482.72/4,155.25
  6. Step 6: Final answer
    x = 3,294.02

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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.