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Finding the Fourth Proportional to 5,735.78, 8,604.14 and 2,448.92

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Solution

The fourth proportional to 5,735.78, 8,604.14 and 2,448.92 is: 3,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.78 : 8,604.14 = 2,448.92 : x
  2. Step 2: Convert to fraction form
    5,735.78/8,604.14 = 2,448.92/x
  3. Step 3: Cross multiply
    5,735.78x = 8,604.14 × 2,448.92
  4. Step 4: Simplify right side
    5,735.78x = 21,070,850.53
  5. Step 5: Solve for x
    x = 21,070,850.53/5,735.78
  6. Step 6: Final answer
    x = 3,673.58

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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.