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Finding the Fourth Proportional to 3,920.40, 5,880.62 and 998.70

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Solution

The fourth proportional to 3,920.40, 5,880.62 and 998.70 is: 1,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.40 : 5,880.62 = 998.70 : x
  2. Step 2: Convert to fraction form
    3,920.40/5,880.62 = 998.70/x
  3. Step 3: Cross multiply
    3,920.40x = 5,880.62 × 998.70
  4. Step 4: Simplify right side
    3,920.40x = 5,872,975.19
  5. Step 5: Solve for x
    x = 5,872,975.19/3,920.40
  6. Step 6: Final answer
    x = 1,498.06

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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.