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Finding the Fourth Proportional to 3,893.12, 5,839.80 and 971.44

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Solution

The fourth proportional to 3,893.12, 5,839.80 and 971.44 is: 1,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.12 : 5,839.80 = 971.44 : x
  2. Step 2: Convert to fraction form
    3,893.12/5,839.80 = 971.44/x
  3. Step 3: Cross multiply
    3,893.12x = 5,839.80 × 971.44
  4. Step 4: Simplify right side
    3,893.12x = 5,673,015.31
  5. Step 5: Solve for x
    x = 5,673,015.31/3,893.12
  6. Step 6: Final answer
    x = 1,457.19

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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.