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Finding the Fourth Proportional to 5,742.66, 7,924.20 and 3,224.22

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Solution

The fourth proportional to 5,742.66, 7,924.20 and 3,224.22 is: 4,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 7,924.20 = 3,224.22 : x
  2. Step 2: Convert to fraction form
    5,742.66/7,924.20 = 3,224.22/x
  3. Step 3: Cross multiply
    5,742.66x = 7,924.20 × 3,224.22
  4. Step 4: Simplify right side
    5,742.66x = 25,549,364.12
  5. Step 5: Solve for x
    x = 25,549,364.12/5,742.66
  6. Step 6: Final answer
    x = 4,449.05

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1.5x scale

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.