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Finding the Fourth Proportional to 3,833.86, 5,290.54 and 2,344.27

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Solution

The fourth proportional to 3,833.86, 5,290.54 and 2,344.27 is: 3,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.86 : 5,290.54 = 2,344.27 : x
  2. Step 2: Convert to fraction form
    3,833.86/5,290.54 = 2,344.27/x
  3. Step 3: Cross multiply
    3,833.86x = 5,290.54 × 2,344.27
  4. Step 4: Simplify right side
    3,833.86x = 12,402,454.21
  5. Step 5: Solve for x
    x = 12,402,454.21/3,833.86
  6. Step 6: Final answer
    x = 3,234.98

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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.