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Finding the Fourth Proportional to 5,742.38, 7,924.49 and 3,258.38

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Solution

The fourth proportional to 5,742.38, 7,924.49 and 3,258.38 is: 4,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.38 : 7,924.49 = 3,258.38 : x
  2. Step 2: Convert to fraction form
    5,742.38/7,924.49 = 3,258.38/x
  3. Step 3: Cross multiply
    5,742.38x = 7,924.49 × 3,258.38
  4. Step 4: Simplify right side
    5,742.38x = 25,820,943.81
  5. Step 5: Solve for x
    x = 25,820,943.81/5,742.38
  6. Step 6: Final answer
    x = 4,496.56

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Double scale
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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.