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Finding the Fourth Proportional to 5,103.14, 7,042.74 and 2,865.16

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Solution

The fourth proportional to 5,103.14, 7,042.74 and 2,865.16 is: 3,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.14 : 7,042.74 = 2,865.16 : x
  2. Step 2: Convert to fraction form
    5,103.14/7,042.74 = 2,865.16/x
  3. Step 3: Cross multiply
    5,103.14x = 7,042.74 × 2,865.16
  4. Step 4: Simplify right side
    5,103.14x = 20,178,594.55
  5. Step 5: Solve for x
    x = 20,178,594.55/5,103.14
  6. Step 6: Final answer
    x = 3,954.15

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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.