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Finding the Fourth Proportional to 3,459.71, 5,189.01 and 993.97

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Solution

The fourth proportional to 3,459.71, 5,189.01 and 993.97 is: 1,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.71 : 5,189.01 = 993.97 : x
  2. Step 2: Convert to fraction form
    3,459.71/5,189.01 = 993.97/x
  3. Step 3: Cross multiply
    3,459.71x = 5,189.01 × 993.97
  4. Step 4: Simplify right side
    3,459.71x = 5,157,704.81
  5. Step 5: Solve for x
    x = 5,157,704.81/3,459.71
  6. Step 6: Final answer
    x = 1,490.79

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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.