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Finding the Fourth Proportional to 4,721.44, 7,082.12 and 1,759.79

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Solution

The fourth proportional to 4,721.44, 7,082.12 and 1,759.79 is: 2,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.44 : 7,082.12 = 1,759.79 : x
  2. Step 2: Convert to fraction form
    4,721.44/7,082.12 = 1,759.79/x
  3. Step 3: Cross multiply
    4,721.44x = 7,082.12 × 1,759.79
  4. Step 4: Simplify right side
    4,721.44x = 12,463,033.71
  5. Step 5: Solve for x
    x = 12,463,033.71/4,721.44
  6. Step 6: Final answer
    x = 2,639.67

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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.