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Finding the Fourth Proportional to 5,103, 7,654.50 and 2,027.16

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Solution

The fourth proportional to 5,103, 7,654.50 and 2,027.16 is: 3,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,654.50 = 2,027.16 : x
  2. Step 2: Convert to fraction form
    5,103/7,654.50 = 2,027.16/x
  3. Step 3: Cross multiply
    5,103x = 7,654.50 × 2,027.16
  4. Step 4: Simplify right side
    5,103x = 15,516,896.22
  5. Step 5: Solve for x
    x = 15,516,896.22/5,103
  6. Step 6: Final answer
    x = 3,040.74

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Why These Related Problems?

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