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Finding the Fourth Proportional to 3,684.43, 5,083.12 and 2,357.92

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Solution

The fourth proportional to 3,684.43, 5,083.12 and 2,357.92 is: 3,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.43 : 5,083.12 = 2,357.92 : x
  2. Step 2: Convert to fraction form
    3,684.43/5,083.12 = 2,357.92/x
  3. Step 3: Cross multiply
    3,684.43x = 5,083.12 × 2,357.92
  4. Step 4: Simplify right side
    3,684.43x = 11,985,590.31
  5. Step 5: Solve for x
    x = 11,985,590.31/3,684.43
  6. Step 6: Final answer
    x = 3,253.04

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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.