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Finding the Fourth Proportional to 3,686.50, 5,516.76 and 2,300.49

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Solution

The fourth proportional to 3,686.50, 5,516.76 and 2,300.49 is: 3,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.50 : 5,516.76 = 2,300.49 : x
  2. Step 2: Convert to fraction form
    3,686.50/5,516.76 = 2,300.49/x
  3. Step 3: Cross multiply
    3,686.50x = 5,516.76 × 2,300.49
  4. Step 4: Simplify right side
    3,686.50x = 12,691,251.21
  5. Step 5: Solve for x
    x = 12,691,251.21/3,686.50
  6. Step 6: Final answer
    x = 3,442.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.