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Finding the Fourth Proportional to 5,865.32, 8,791.76 and 2,742.70

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Solution

The fourth proportional to 5,865.32, 8,791.76 and 2,742.70 is: 4,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.32 : 8,791.76 = 2,742.70 : x
  2. Step 2: Convert to fraction form
    5,865.32/8,791.76 = 2,742.70/x
  3. Step 3: Cross multiply
    5,865.32x = 8,791.76 × 2,742.70
  4. Step 4: Simplify right side
    5,865.32x = 24,113,145.03
  5. Step 5: Solve for x
    x = 24,113,145.03/5,865.32
  6. Step 6: Final answer
    x = 4,111.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.