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Finding the Fourth Proportional to 3,827.93, 5,282.64 and 2,149.46

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Solution

The fourth proportional to 3,827.93, 5,282.64 and 2,149.46 is: 2,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.93 : 5,282.64 = 2,149.46 : x
  2. Step 2: Convert to fraction form
    3,827.93/5,282.64 = 2,149.46/x
  3. Step 3: Cross multiply
    3,827.93x = 5,282.64 × 2,149.46
  4. Step 4: Simplify right side
    3,827.93x = 11,354,823.37
  5. Step 5: Solve for x
    x = 11,354,823.37/3,827.93
  6. Step 6: Final answer
    x = 2,966.31

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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.