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Finding the Fourth Proportional to 3,920.41, 5,880.11 and 998.54

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Solution

The fourth proportional to 3,920.41, 5,880.11 and 998.54 is: 1,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.41 : 5,880.11 = 998.54 : x
  2. Step 2: Convert to fraction form
    3,920.41/5,880.11 = 998.54/x
  3. Step 3: Cross multiply
    3,920.41x = 5,880.11 × 998.54
  4. Step 4: Simplify right side
    3,920.41x = 5,871,490.65
  5. Step 5: Solve for x
    x = 5,871,490.65/3,920.41
  6. Step 6: Final answer
    x = 1,497.67

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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.