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Finding the Fourth Proportional to 4,059, 5,601.44 and 2,196

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Solution

The fourth proportional to 4,059, 5,601.44 and 2,196 is: 3,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 5,601.44 = 2,196 : x
  2. Step 2: Convert to fraction form
    4,059/5,601.44 = 2,196/x
  3. Step 3: Cross multiply
    4,059x = 5,601.44 × 2,196
  4. Step 4: Simplify right side
    4,059x = 12,300,767.73
  5. Step 5: Solve for x
    x = 12,300,767.73/4,059
  6. Step 6: Final answer
    x = 3,030.49

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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.