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Finding the Fourth Proportional to 5,103.10, 7,041 and 2,865.04

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Solution

The fourth proportional to 5,103.10, 7,041 and 2,865.04 is: 3,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.10 : 7,041 = 2,865.04 : x
  2. Step 2: Convert to fraction form
    5,103.10/7,041 = 2,865.04/x
  3. Step 3: Cross multiply
    5,103.10x = 7,041 × 2,865.04
  4. Step 4: Simplify right side
    5,103.10x = 20,172,746.64
  5. Step 5: Solve for x
    x = 20,172,746.64/5,103.10
  6. Step 6: Final answer
    x = 3,953.04

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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.