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Finding the Fourth Proportional to 4,108.86, 5,669.70 and 2,516.22

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Solution

The fourth proportional to 4,108.86, 5,669.70 and 2,516.22 is: 3,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.86 : 5,669.70 = 2,516.22 : x
  2. Step 2: Convert to fraction form
    4,108.86/5,669.70 = 2,516.22/x
  3. Step 3: Cross multiply
    4,108.86x = 5,669.70 × 2,516.22
  4. Step 4: Simplify right side
    4,108.86x = 14,266,212.53
  5. Step 5: Solve for x
    x = 14,266,212.53/4,108.86
  6. Step 6: Final answer
    x = 3,472.06

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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.