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Finding the Fourth Proportional to 3,586.83, 4,949.72 and 1,993.47

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Solution

The fourth proportional to 3,586.83, 4,949.72 and 1,993.47 is: 2,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.83 : 4,949.72 = 1,993.47 : x
  2. Step 2: Convert to fraction form
    3,586.83/4,949.72 = 1,993.47/x
  3. Step 3: Cross multiply
    3,586.83x = 4,949.72 × 1,993.47
  4. Step 4: Simplify right side
    3,586.83x = 9,867,108.36
  5. Step 5: Solve for x
    x = 9,867,108.36/3,586.83
  6. Step 6: Final answer
    x = 2,750.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.