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Finding the Fourth Proportional to 3,790, 5,228.48 and 2,217.40

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Solution

The fourth proportional to 3,790, 5,228.48 and 2,217.40 is: 3,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790 : 5,228.48 = 2,217.40 : x
  2. Step 2: Convert to fraction form
    3,790/5,228.48 = 2,217.40/x
  3. Step 3: Cross multiply
    3,790x = 5,228.48 × 2,217.40
  4. Step 4: Simplify right side
    3,790x = 11,593,631.55
  5. Step 5: Solve for x
    x = 11,593,631.55/3,790
  6. Step 6: Final answer
    x = 3,059.01

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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.