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Finding the Fourth Proportional to 4,763.67, 6,572.45 and 3,082.42

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Solution

The fourth proportional to 4,763.67, 6,572.45 and 3,082.42 is: 4,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.67 : 6,572.45 = 3,082.42 : x
  2. Step 2: Convert to fraction form
    4,763.67/6,572.45 = 3,082.42/x
  3. Step 3: Cross multiply
    4,763.67x = 6,572.45 × 3,082.42
  4. Step 4: Simplify right side
    4,763.67x = 20,259,024.35
  5. Step 5: Solve for x
    x = 20,259,024.35/4,763.67
  6. Step 6: Final answer
    x = 4,252.82

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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.