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Finding the Fourth Proportional to 3,374.83, 5,058.82 and 1,294.30

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Solution

The fourth proportional to 3,374.83, 5,058.82 and 1,294.30 is: 1,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.83 : 5,058.82 = 1,294.30 : x
  2. Step 2: Convert to fraction form
    3,374.83/5,058.82 = 1,294.30/x
  3. Step 3: Cross multiply
    3,374.83x = 5,058.82 × 1,294.30
  4. Step 4: Simplify right side
    3,374.83x = 6,547,630.73
  5. Step 5: Solve for x
    x = 6,547,630.73/3,374.83
  6. Step 6: Final answer
    x = 1,940.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.