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Finding the Fourth Proportional to 3,827.70, 5,277.38 and 2,499.30

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Solution

The fourth proportional to 3,827.70, 5,277.38 and 2,499.30 is: 3,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.70 : 5,277.38 = 2,499.30 : x
  2. Step 2: Convert to fraction form
    3,827.70/5,277.38 = 2,499.30/x
  3. Step 3: Cross multiply
    3,827.70x = 5,277.38 × 2,499.30
  4. Step 4: Simplify right side
    3,827.70x = 13,189,755.83
  5. Step 5: Solve for x
    x = 13,189,755.83/3,827.70
  6. Step 6: Final answer
    x = 3,445.87

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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.