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Finding the Fourth Proportional to 5,669.67, 7,819.82 and 5,032.28

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Solution

The fourth proportional to 5,669.67, 7,819.82 and 5,032.28 is: 6,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.67 : 7,819.82 = 5,032.28 : x
  2. Step 2: Convert to fraction form
    5,669.67/7,819.82 = 5,032.28/x
  3. Step 3: Cross multiply
    5,669.67x = 7,819.82 × 5,032.28
  4. Step 4: Simplify right side
    5,669.67x = 39,351,537.05
  5. Step 5: Solve for x
    x = 39,351,537.05/5,669.67
  6. Step 6: Final answer
    x = 6,940.71

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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.