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Finding the Fourth Proportional to 5,665.68, 7,799.49 and 4,669.38

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Solution

The fourth proportional to 5,665.68, 7,799.49 and 4,669.38 is: 6,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.68 : 7,799.49 = 4,669.38 : x
  2. Step 2: Convert to fraction form
    5,665.68/7,799.49 = 4,669.38/x
  3. Step 3: Cross multiply
    5,665.68x = 7,799.49 × 4,669.38
  4. Step 4: Simplify right side
    5,665.68x = 36,418,782.62
  5. Step 5: Solve for x
    x = 36,418,782.62/5,665.68
  6. Step 6: Final answer
    x = 6,427.96

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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.