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Finding the Fourth Proportional to 5,156.15, 7,737.06 and 2,234.48

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Solution

The fourth proportional to 5,156.15, 7,737.06 and 2,234.48 is: 3,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.15 : 7,737.06 = 2,234.48 : x
  2. Step 2: Convert to fraction form
    5,156.15/7,737.06 = 2,234.48/x
  3. Step 3: Cross multiply
    5,156.15x = 7,737.06 × 2,234.48
  4. Step 4: Simplify right side
    5,156.15x = 17,288,305.83
  5. Step 5: Solve for x
    x = 17,288,305.83/5,156.15
  6. Step 6: Final answer
    x = 3,352.95

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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.