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Finding the Fourth Proportional to 5,095.10, 7,013.14 and 3,766.49

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Solution

The fourth proportional to 5,095.10, 7,013.14 and 3,766.49 is: 5,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.10 : 7,013.14 = 3,766.49 : x
  2. Step 2: Convert to fraction form
    5,095.10/7,013.14 = 3,766.49/x
  3. Step 3: Cross multiply
    5,095.10x = 7,013.14 × 3,766.49
  4. Step 4: Simplify right side
    5,095.10x = 26,414,921.68
  5. Step 5: Solve for x
    x = 26,414,921.68/5,095.10
  6. Step 6: Final answer
    x = 5,184.38

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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.