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Finding the Fourth Proportional to 3,106.75, 4,287.32 and 2,058.82

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Solution

The fourth proportional to 3,106.75, 4,287.32 and 2,058.82 is: 2,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.75 : 4,287.32 = 2,058.82 : x
  2. Step 2: Convert to fraction form
    3,106.75/4,287.32 = 2,058.82/x
  3. Step 3: Cross multiply
    3,106.75x = 4,287.32 × 2,058.82
  4. Step 4: Simplify right side
    3,106.75x = 8,826,820.16
  5. Step 5: Solve for x
    x = 8,826,820.16/3,106.75
  6. Step 6: Final answer
    x = 2,841.17

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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.