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Finding the Fourth Proportional to 5,669.89, 7,821.72 and 4,882.57

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Solution

The fourth proportional to 5,669.89, 7,821.72 and 4,882.57 is: 6,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.89 : 7,821.72 = 4,882.57 : x
  2. Step 2: Convert to fraction form
    5,669.89/7,821.72 = 4,882.57/x
  3. Step 3: Cross multiply
    5,669.89x = 7,821.72 × 4,882.57
  4. Step 4: Simplify right side
    5,669.89x = 38,190,031.90
  5. Step 5: Solve for x
    x = 38,190,031.90/5,669.89
  6. Step 6: Final answer
    x = 6,735.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.