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Finding the Fourth Proportional to 3,906.84, 5,856.21 and 2,442.63

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Solution

The fourth proportional to 3,906.84, 5,856.21 and 2,442.63 is: 3,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.84 : 5,856.21 = 2,442.63 : x
  2. Step 2: Convert to fraction form
    3,906.84/5,856.21 = 2,442.63/x
  3. Step 3: Cross multiply
    3,906.84x = 5,856.21 × 2,442.63
  4. Step 4: Simplify right side
    3,906.84x = 14,304,554.23
  5. Step 5: Solve for x
    x = 14,304,554.23/3,906.84
  6. Step 6: Final answer
    x = 3,661.41

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1.5x scale

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.