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Finding the Fourth Proportional to 3,918.94, 5,878.44 and 997.24

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Solution

The fourth proportional to 3,918.94, 5,878.44 and 997.24 is: 1,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.94 : 5,878.44 = 997.24 : x
  2. Step 2: Convert to fraction form
    3,918.94/5,878.44 = 997.24/x
  3. Step 3: Cross multiply
    3,918.94x = 5,878.44 × 997.24
  4. Step 4: Simplify right side
    3,918.94x = 5,862,215.51
  5. Step 5: Solve for x
    x = 5,862,215.51/3,918.94
  6. Step 6: Final answer
    x = 1,495.87

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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.