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Finding the Fourth Proportional to 4,179.87, 5,768.19 and 2,291.40

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Solution

The fourth proportional to 4,179.87, 5,768.19 and 2,291.40 is: 3,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.87 : 5,768.19 = 2,291.40 : x
  2. Step 2: Convert to fraction form
    4,179.87/5,768.19 = 2,291.40/x
  3. Step 3: Cross multiply
    4,179.87x = 5,768.19 × 2,291.40
  4. Step 4: Simplify right side
    4,179.87x = 13,217,230.57
  5. Step 5: Solve for x
    x = 13,217,230.57/4,179.87
  6. Step 6: Final answer
    x = 3,162.12

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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.