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Finding the Fourth Proportional to 5,204.24, 7,793.48 and 4,767.28

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Solution

The fourth proportional to 5,204.24, 7,793.48 and 4,767.28 is: 7,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.24 : 7,793.48 = 4,767.28 : x
  2. Step 2: Convert to fraction form
    5,204.24/7,793.48 = 4,767.28/x
  3. Step 3: Cross multiply
    5,204.24x = 7,793.48 × 4,767.28
  4. Step 4: Simplify right side
    5,204.24x = 37,153,701.33
  5. Step 5: Solve for x
    x = 37,153,701.33/5,204.24
  6. Step 6: Final answer
    x = 7,139.12

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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.