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Finding the Fourth Proportional to 3,366.80, 5,049.72 and 1,058

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Solution

The fourth proportional to 3,366.80, 5,049.72 and 1,058 is: 1,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.80 : 5,049.72 = 1,058 : x
  2. Step 2: Convert to fraction form
    3,366.80/5,049.72 = 1,058/x
  3. Step 3: Cross multiply
    3,366.80x = 5,049.72 × 1,058
  4. Step 4: Simplify right side
    3,366.80x = 5,342,603.76
  5. Step 5: Solve for x
    x = 5,342,603.76/3,366.80
  6. Step 6: Final answer
    x = 1,586.85

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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.