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Finding the Fourth Proportional to 4,584.38, 6,326.57 and 2,488.64

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Solution

The fourth proportional to 4,584.38, 6,326.57 and 2,488.64 is: 3,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.38 : 6,326.57 = 2,488.64 : x
  2. Step 2: Convert to fraction form
    4,584.38/6,326.57 = 2,488.64/x
  3. Step 3: Cross multiply
    4,584.38x = 6,326.57 × 2,488.64
  4. Step 4: Simplify right side
    4,584.38x = 15,744,529.75
  5. Step 5: Solve for x
    x = 15,744,529.75/4,584.38
  6. Step 6: Final answer
    x = 3,434.39

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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.