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Finding the Fourth Proportional to 5,606, 7,723.40 and 4,426.64

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Solution

The fourth proportional to 5,606, 7,723.40 and 4,426.64 is: 6,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606 : 7,723.40 = 4,426.64 : x
  2. Step 2: Convert to fraction form
    5,606/7,723.40 = 4,426.64/x
  3. Step 3: Cross multiply
    5,606x = 7,723.40 × 4,426.64
  4. Step 4: Simplify right side
    5,606x = 34,188,711.38
  5. Step 5: Solve for x
    x = 34,188,711.38/5,606
  6. Step 6: Final answer
    x = 6,098.59

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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.