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Finding the Fourth Proportional to 3,468.16, 5,204.29 and 1,278.43

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Solution

The fourth proportional to 3,468.16, 5,204.29 and 1,278.43 is: 1,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.16 : 5,204.29 = 1,278.43 : x
  2. Step 2: Convert to fraction form
    3,468.16/5,204.29 = 1,278.43/x
  3. Step 3: Cross multiply
    3,468.16x = 5,204.29 × 1,278.43
  4. Step 4: Simplify right side
    3,468.16x = 6,653,320.46
  5. Step 5: Solve for x
    x = 6,653,320.46/3,468.16
  6. Step 6: Final answer
    x = 1,918.40

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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.