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Finding the Fourth Proportional to 3,418.56, 4,717.71 and 1,906.16

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Solution

The fourth proportional to 3,418.56, 4,717.71 and 1,906.16 is: 2,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.56 : 4,717.71 = 1,906.16 : x
  2. Step 2: Convert to fraction form
    3,418.56/4,717.71 = 1,906.16/x
  3. Step 3: Cross multiply
    3,418.56x = 4,717.71 × 1,906.16
  4. Step 4: Simplify right side
    3,418.56x = 8,992,686.51
  5. Step 5: Solve for x
    x = 8,992,686.51/3,418.56
  6. Step 6: Final answer
    x = 2,630.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.