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Finding the Fourth Proportional to 5,202.24, 7,790.48 and 4,765.28

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Solution

The fourth proportional to 5,202.24, 7,790.48 and 4,765.28 is: 7,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.24 : 7,790.48 = 4,765.28 : x
  2. Step 2: Convert to fraction form
    5,202.24/7,790.48 = 4,765.28/x
  3. Step 3: Cross multiply
    5,202.24x = 7,790.48 × 4,765.28
  4. Step 4: Simplify right side
    5,202.24x = 37,123,818.53
  5. Step 5: Solve for x
    x = 37,123,818.53/5,202.24
  6. Step 6: Final answer
    x = 7,136.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.