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Finding the Fourth Proportional to 3,795.36, 5,648.16 and 3,657.12

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Solution

The fourth proportional to 3,795.36, 5,648.16 and 3,657.12 is: 5,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.36 : 5,648.16 = 3,657.12 : x
  2. Step 2: Convert to fraction form
    3,795.36/5,648.16 = 3,657.12/x
  3. Step 3: Cross multiply
    3,795.36x = 5,648.16 × 3,657.12
  4. Step 4: Simplify right side
    3,795.36x = 20,655,998.90
  5. Step 5: Solve for x
    x = 20,655,998.90/3,795.36
  6. Step 6: Final answer
    x = 5,442.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.