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Finding the Fourth Proportional to 3,468.02, 5,202.48 and 1,278.30

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Solution

The fourth proportional to 3,468.02, 5,202.48 and 1,278.30 is: 1,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.02 : 5,202.48 = 1,278.30 : x
  2. Step 2: Convert to fraction form
    3,468.02/5,202.48 = 1,278.30/x
  3. Step 3: Cross multiply
    3,468.02x = 5,202.48 × 1,278.30
  4. Step 4: Simplify right side
    3,468.02x = 6,650,330.18
  5. Step 5: Solve for x
    x = 6,650,330.18/3,468.02
  6. Step 6: Final answer
    x = 1,917.62

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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.