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Finding the Fourth Proportional to 3,470.01, 5,204.49 and 1,278.25

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Solution

The fourth proportional to 3,470.01, 5,204.49 and 1,278.25 is: 1,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.01 : 5,204.49 = 1,278.25 : x
  2. Step 2: Convert to fraction form
    3,470.01/5,204.49 = 1,278.25/x
  3. Step 3: Cross multiply
    3,470.01x = 5,204.49 × 1,278.25
  4. Step 4: Simplify right side
    3,470.01x = 6,652,621.54
  5. Step 5: Solve for x
    x = 6,652,621.54/3,470.01
  6. Step 6: Final answer
    x = 1,917.18

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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.