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Finding the Fourth Proportional to 3,156.86, 4,728.80 and 2,537.22

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Solution

The fourth proportional to 3,156.86, 4,728.80 and 2,537.22 is: 3,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.86 : 4,728.80 = 2,537.22 : x
  2. Step 2: Convert to fraction form
    3,156.86/4,728.80 = 2,537.22/x
  3. Step 3: Cross multiply
    3,156.86x = 4,728.80 × 2,537.22
  4. Step 4: Simplify right side
    3,156.86x = 11,998,005.94
  5. Step 5: Solve for x
    x = 11,998,005.94/3,156.86
  6. Step 6: Final answer
    x = 3,800.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.