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Finding the Fourth Proportional to 6,310.38, 8,709.35 and 3,657.27

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Solution

The fourth proportional to 6,310.38, 8,709.35 and 3,657.27 is: 5,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.38 : 8,709.35 = 3,657.27 : x
  2. Step 2: Convert to fraction form
    6,310.38/8,709.35 = 3,657.27/x
  3. Step 3: Cross multiply
    6,310.38x = 8,709.35 × 3,657.27
  4. Step 4: Simplify right side
    6,310.38x = 31,852,426.19
  5. Step 5: Solve for x
    x = 31,852,426.19/6,310.38
  6. Step 6: Final answer
    x = 5,047.62

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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.