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Finding the Fourth Proportional to 5,212.48, 7,799.10 and 3,655.52

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Solution

The fourth proportional to 5,212.48, 7,799.10 and 3,655.52 is: 5,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.48 : 7,799.10 = 3,655.52 : x
  2. Step 2: Convert to fraction form
    5,212.48/7,799.10 = 3,655.52/x
  3. Step 3: Cross multiply
    5,212.48x = 7,799.10 × 3,655.52
  4. Step 4: Simplify right side
    5,212.48x = 28,509,736.75
  5. Step 5: Solve for x
    x = 28,509,736.75/5,212.48
  6. Step 6: Final answer
    x = 5,469.52

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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.