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Finding the Fourth Proportional to 3,323.72, 4,586.06 and 2,081

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Solution

The fourth proportional to 3,323.72, 4,586.06 and 2,081 is: 2,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.72 : 4,586.06 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,323.72/4,586.06 = 2,081/x
  3. Step 3: Cross multiply
    3,323.72x = 4,586.06 × 2,081
  4. Step 4: Simplify right side
    3,323.72x = 9,543,590.86
  5. Step 5: Solve for x
    x = 9,543,590.86/3,323.72
  6. Step 6: Final answer
    x = 2,871.36

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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.