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Finding the Fourth Proportional to 3,918.72, 5,878.26 and 997.05

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Solution

The fourth proportional to 3,918.72, 5,878.26 and 997.05 is: 1,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.72 : 5,878.26 = 997.05 : x
  2. Step 2: Convert to fraction form
    3,918.72/5,878.26 = 997.05/x
  3. Step 3: Cross multiply
    3,918.72x = 5,878.26 × 997.05
  4. Step 4: Simplify right side
    3,918.72x = 5,860,919.13
  5. Step 5: Solve for x
    x = 5,860,919.13/3,918.72
  6. Step 6: Final answer
    x = 1,495.62

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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.