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Finding the Fourth Proportional to 3,827.98, 5,282.51 and 2,149.37

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Solution

The fourth proportional to 3,827.98, 5,282.51 and 2,149.37 is: 2,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.98 : 5,282.51 = 2,149.37 : x
  2. Step 2: Convert to fraction form
    3,827.98/5,282.51 = 2,149.37/x
  3. Step 3: Cross multiply
    3,827.98x = 5,282.51 × 2,149.37
  4. Step 4: Simplify right side
    3,827.98x = 11,354,068.52
  5. Step 5: Solve for x
    x = 11,354,068.52/3,827.98
  6. Step 6: Final answer
    x = 2,966.07

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