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Finding the Fourth Proportional to 3,431.14, 4,734.97 and 1,859.22

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Solution

The fourth proportional to 3,431.14, 4,734.97 and 1,859.22 is: 2,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.14 : 4,734.97 = 1,859.22 : x
  2. Step 2: Convert to fraction form
    3,431.14/4,734.97 = 1,859.22/x
  3. Step 3: Cross multiply
    3,431.14x = 4,734.97 × 1,859.22
  4. Step 4: Simplify right side
    3,431.14x = 8,803,346.28
  5. Step 5: Solve for x
    x = 8,803,346.28/3,431.14
  6. Step 6: Final answer
    x = 2,565.72

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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.