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Finding the Fourth Proportional to 3,650.95, 5,038.41 and 2,234.61

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Solution

The fourth proportional to 3,650.95, 5,038.41 and 2,234.61 is: 3,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.95 : 5,038.41 = 2,234.61 : x
  2. Step 2: Convert to fraction form
    3,650.95/5,038.41 = 2,234.61/x
  3. Step 3: Cross multiply
    3,650.95x = 5,038.41 × 2,234.61
  4. Step 4: Simplify right side
    3,650.95x = 11,258,889.75
  5. Step 5: Solve for x
    x = 11,258,889.75/3,650.95
  6. Step 6: Final answer
    x = 3,083.82

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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.