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Finding the Fourth Proportional to 5,742.12, 7,924.26 and 3,258.12

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Solution

The fourth proportional to 5,742.12, 7,924.26 and 3,258.12 is: 4,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.12 : 7,924.26 = 3,258.12 : x
  2. Step 2: Convert to fraction form
    5,742.12/7,924.26 = 3,258.12/x
  3. Step 3: Cross multiply
    5,742.12x = 7,924.26 × 3,258.12
  4. Step 4: Simplify right side
    5,742.12x = 25,818,189.99
  5. Step 5: Solve for x
    x = 25,818,189.99/5,742.12
  6. Step 6: Final answer
    x = 4,496.28

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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.