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Finding the Fourth Proportional to 4,862.21, 7,291.49 and 3,824.24

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Solution

The fourth proportional to 4,862.21, 7,291.49 and 3,824.24 is: 5,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.21 : 7,291.49 = 3,824.24 : x
  2. Step 2: Convert to fraction form
    4,862.21/7,291.49 = 3,824.24/x
  3. Step 3: Cross multiply
    4,862.21x = 7,291.49 × 3,824.24
  4. Step 4: Simplify right side
    4,862.21x = 27,884,352.14
  5. Step 5: Solve for x
    x = 27,884,352.14/4,862.21
  6. Step 6: Final answer
    x = 5,734.92

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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.