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Finding the Fourth Proportional to 3,220, 4,439.82 and 2,511.06

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Solution

The fourth proportional to 3,220, 4,439.82 and 2,511.06 is: 3,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,439.82 = 2,511.06 : x
  2. Step 2: Convert to fraction form
    3,220/4,439.82 = 2,511.06/x
  3. Step 3: Cross multiply
    3,220x = 4,439.82 × 2,511.06
  4. Step 4: Simplify right side
    3,220x = 11,148,654.41
  5. Step 5: Solve for x
    x = 11,148,654.41/3,220
  6. Step 6: Final answer
    x = 3,462.32

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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.