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Finding the Fourth Proportional to 5,146.23, 7,711.15 and 3,295.83

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Solution

The fourth proportional to 5,146.23, 7,711.15 and 3,295.83 is: 4,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.23 : 7,711.15 = 3,295.83 : x
  2. Step 2: Convert to fraction form
    5,146.23/7,711.15 = 3,295.83/x
  3. Step 3: Cross multiply
    5,146.23x = 7,711.15 × 3,295.83
  4. Step 4: Simplify right side
    5,146.23x = 25,414,639.50
  5. Step 5: Solve for x
    x = 25,414,639.50/5,146.23
  6. Step 6: Final answer
    x = 4,938.50

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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.