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Finding the Fourth Proportional to 5,322.24, 7,984.32 and 2,244.48

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Solution

The fourth proportional to 5,322.24, 7,984.32 and 2,244.48 is: 3,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.24 : 7,984.32 = 2,244.48 : x
  2. Step 2: Convert to fraction form
    5,322.24/7,984.32 = 2,244.48/x
  3. Step 3: Cross multiply
    5,322.24x = 7,984.32 × 2,244.48
  4. Step 4: Simplify right side
    5,322.24x = 17,920,646.55
  5. Step 5: Solve for x
    x = 17,920,646.55/5,322.24
  6. Step 6: Final answer
    x = 3,367.12

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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.