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Finding the Fourth Proportional to 3,616.74, 5,425.10 and 1,019.67

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Solution

The fourth proportional to 3,616.74, 5,425.10 and 1,019.67 is: 1,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.74 : 5,425.10 = 1,019.67 : x
  2. Step 2: Convert to fraction form
    3,616.74/5,425.10 = 1,019.67/x
  3. Step 3: Cross multiply
    3,616.74x = 5,425.10 × 1,019.67
  4. Step 4: Simplify right side
    3,616.74x = 5,531,806.62
  5. Step 5: Solve for x
    x = 5,531,806.62/3,616.74
  6. Step 6: Final answer
    x = 1,529.50

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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.