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Finding the Fourth Proportional to 5,292.23, 7,938.41 and 3,648.33

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Solution

The fourth proportional to 5,292.23, 7,938.41 and 3,648.33 is: 5,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.23 : 7,938.41 = 3,648.33 : x
  2. Step 2: Convert to fraction form
    5,292.23/7,938.41 = 3,648.33/x
  3. Step 3: Cross multiply
    5,292.23x = 7,938.41 × 3,648.33
  4. Step 4: Simplify right side
    5,292.23x = 28,961,921.11
  5. Step 5: Solve for x
    x = 28,961,921.11/5,292.23
  6. Step 6: Final answer
    x = 5,472.54

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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.