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Finding the Fourth Proportional to 5,195.61, 7,169.98 and 2,837.81

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Solution

The fourth proportional to 5,195.61, 7,169.98 and 2,837.81 is: 3,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.61 : 7,169.98 = 2,837.81 : x
  2. Step 2: Convert to fraction form
    5,195.61/7,169.98 = 2,837.81/x
  3. Step 3: Cross multiply
    5,195.61x = 7,169.98 × 2,837.81
  4. Step 4: Simplify right side
    5,195.61x = 20,347,040.94
  5. Step 5: Solve for x
    x = 20,347,040.94/5,195.61
  6. Step 6: Final answer
    x = 3,916.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.