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Finding the Fourth Proportional to 5,662.17, 7,813.80 and 3,144.38

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Solution

The fourth proportional to 5,662.17, 7,813.80 and 3,144.38 is: 4,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.17 : 7,813.80 = 3,144.38 : x
  2. Step 2: Convert to fraction form
    5,662.17/7,813.80 = 3,144.38/x
  3. Step 3: Cross multiply
    5,662.17x = 7,813.80 × 3,144.38
  4. Step 4: Simplify right side
    5,662.17x = 24,569,517.38
  5. Step 5: Solve for x
    x = 24,569,517.38/5,662.17
  6. Step 6: Final answer
    x = 4,339.24

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1.5x scale

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.