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Finding the Fourth Proportional to 3,309.56, 4,964.28 and 1,749.23

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Solution

The fourth proportional to 3,309.56, 4,964.28 and 1,749.23 is: 2,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.56 : 4,964.28 = 1,749.23 : x
  2. Step 2: Convert to fraction form
    3,309.56/4,964.28 = 1,749.23/x
  3. Step 3: Cross multiply
    3,309.56x = 4,964.28 × 1,749.23
  4. Step 4: Simplify right side
    3,309.56x = 8,683,667.50
  5. Step 5: Solve for x
    x = 8,683,667.50/3,309.56
  6. Step 6: Final answer
    x = 2,623.81

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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.