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Finding the Fourth Proportional to 5,103.16, 7,042.49 and 2,865.21

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Solution

The fourth proportional to 5,103.16, 7,042.49 and 2,865.21 is: 3,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.16 : 7,042.49 = 2,865.21 : x
  2. Step 2: Convert to fraction form
    5,103.16/7,042.49 = 2,865.21/x
  3. Step 3: Cross multiply
    5,103.16x = 7,042.49 × 2,865.21
  4. Step 4: Simplify right side
    5,103.16x = 20,178,212.77
  5. Step 5: Solve for x
    x = 20,178,212.77/5,103.16
  6. Step 6: Final answer
    x = 3,954.06

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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.