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Finding the Fourth Proportional to 5,886.86, 8,124.02 and 3,234.44

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Solution

The fourth proportional to 5,886.86, 8,124.02 and 3,234.44 is: 4,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.86 : 8,124.02 = 3,234.44 : x
  2. Step 2: Convert to fraction form
    5,886.86/8,124.02 = 3,234.44/x
  3. Step 3: Cross multiply
    5,886.86x = 8,124.02 × 3,234.44
  4. Step 4: Simplify right side
    5,886.86x = 26,276,655.25
  5. Step 5: Solve for x
    x = 26,276,655.25/5,886.86
  6. Step 6: Final answer
    x = 4,463.61

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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.