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Finding the Fourth Proportional to 3,388.48, 5,083.12 and 1,196.76

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Solution

The fourth proportional to 3,388.48, 5,083.12 and 1,196.76 is: 1,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.48 : 5,083.12 = 1,196.76 : x
  2. Step 2: Convert to fraction form
    3,388.48/5,083.12 = 1,196.76/x
  3. Step 3: Cross multiply
    3,388.48x = 5,083.12 × 1,196.76
  4. Step 4: Simplify right side
    3,388.48x = 6,083,274.69
  5. Step 5: Solve for x
    x = 6,083,274.69/3,388.48
  6. Step 6: Final answer
    x = 1,795.28

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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.