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Finding the Fourth Proportional to 4,257.98, 5,876.38 and 2,490.16

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Solution

The fourth proportional to 4,257.98, 5,876.38 and 2,490.16 is: 3,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.98 : 5,876.38 = 2,490.16 : x
  2. Step 2: Convert to fraction form
    4,257.98/5,876.38 = 2,490.16/x
  3. Step 3: Cross multiply
    4,257.98x = 5,876.38 × 2,490.16
  4. Step 4: Simplify right side
    4,257.98x = 14,633,126.42
  5. Step 5: Solve for x
    x = 14,633,126.42/4,257.98
  6. Step 6: Final answer
    x = 3,436.64

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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.