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Finding the Fourth Proportional to 3,459.70, 5,189.52 and 994.51

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Solution

The fourth proportional to 3,459.70, 5,189.52 and 994.51 is: 1,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.70 : 5,189.52 = 994.51 : x
  2. Step 2: Convert to fraction form
    3,459.70/5,189.52 = 994.51/x
  3. Step 3: Cross multiply
    3,459.70x = 5,189.52 × 994.51
  4. Step 4: Simplify right side
    3,459.70x = 5,161,039.75
  5. Step 5: Solve for x
    x = 5,161,039.75/3,459.70
  6. Step 6: Final answer
    x = 1,491.76

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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.