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Finding the Fourth Proportional to 4,002.86, 5,523.86 and 2,234.63

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Solution

The fourth proportional to 4,002.86, 5,523.86 and 2,234.63 is: 3,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.86 : 5,523.86 = 2,234.63 : x
  2. Step 2: Convert to fraction form
    4,002.86/5,523.86 = 2,234.63/x
  3. Step 3: Cross multiply
    4,002.86x = 5,523.86 × 2,234.63
  4. Step 4: Simplify right side
    4,002.86x = 12,343,772.10
  5. Step 5: Solve for x
    x = 12,343,772.10/4,002.86
  6. Step 6: Final answer
    x = 3,083.74

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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.