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Finding the Fourth Proportional to 3,175.97, 4,385.71 and 2,058.77

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Solution

The fourth proportional to 3,175.97, 4,385.71 and 2,058.77 is: 2,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.97 : 4,385.71 = 2,058.77 : x
  2. Step 2: Convert to fraction form
    3,175.97/4,385.71 = 2,058.77/x
  3. Step 3: Cross multiply
    3,175.97x = 4,385.71 × 2,058.77
  4. Step 4: Simplify right side
    3,175.97x = 9,029,181.71
  5. Step 5: Solve for x
    x = 9,029,181.71/3,175.97
  6. Step 6: Final answer
    x = 2,842.97

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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.