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Finding the Fourth Proportional to 2,895.86, 3,995.24 and 2,616.50

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Solution

The fourth proportional to 2,895.86, 3,995.24 and 2,616.50 is: 3,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.86 : 3,995.24 = 2,616.50 : x
  2. Step 2: Convert to fraction form
    2,895.86/3,995.24 = 2,616.50/x
  3. Step 3: Cross multiply
    2,895.86x = 3,995.24 × 2,616.50
  4. Step 4: Simplify right side
    2,895.86x = 10,453,545.46
  5. Step 5: Solve for x
    x = 10,453,545.46/2,895.86
  6. Step 6: Final answer
    x = 3,609.82

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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.