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Finding the Fourth Proportional to 3,919.11, 5,878.62 and 997.64

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Solution

The fourth proportional to 3,919.11, 5,878.62 and 997.64 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.11 : 5,878.62 = 997.64 : x
  2. Step 2: Convert to fraction form
    3,919.11/5,878.62 = 997.64/x
  3. Step 3: Cross multiply
    3,919.11x = 5,878.62 × 997.64
  4. Step 4: Simplify right side
    3,919.11x = 5,864,746.46
  5. Step 5: Solve for x
    x = 5,864,746.46/3,919.11
  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.