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Finding the Fourth Proportional to 4,584.98, 6,876.13 and 1,952.46

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Solution

The fourth proportional to 4,584.98, 6,876.13 and 1,952.46 is: 2,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.98 : 6,876.13 = 1,952.46 : x
  2. Step 2: Convert to fraction form
    4,584.98/6,876.13 = 1,952.46/x
  3. Step 3: Cross multiply
    4,584.98x = 6,876.13 × 1,952.46
  4. Step 4: Simplify right side
    4,584.98x = 13,425,363.90
  5. Step 5: Solve for x
    x = 13,425,363.90/4,584.98
  6. Step 6: Final answer
    x = 2,928.12

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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.