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Finding the Fourth Proportional to 3,919.34, 5,878.92 and 997.65

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Solution

The fourth proportional to 3,919.34, 5,878.92 and 997.65 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.34 : 5,878.92 = 997.65 : x
  2. Step 2: Convert to fraction form
    3,919.34/5,878.92 = 997.65/x
  3. Step 3: Cross multiply
    3,919.34x = 5,878.92 × 997.65
  4. Step 4: Simplify right side
    3,919.34x = 5,865,108.28
  5. Step 5: Solve for x
    x = 5,865,108.28/3,919.34
  6. Step 6: Final answer
    x = 1,496.45

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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.