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Finding the Fourth Proportional to 4,565.26, 6,300.02 and 2,469.38

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Solution

The fourth proportional to 4,565.26, 6,300.02 and 2,469.38 is: 3,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.26 : 6,300.02 = 2,469.38 : x
  2. Step 2: Convert to fraction form
    4,565.26/6,300.02 = 2,469.38/x
  3. Step 3: Cross multiply
    4,565.26x = 6,300.02 × 2,469.38
  4. Step 4: Simplify right side
    4,565.26x = 15,557,143.39
  5. Step 5: Solve for x
    x = 15,557,143.39/4,565.26
  6. Step 6: Final answer
    x = 3,407.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.