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Finding the Fourth Proportional to 3,918.29, 5,877.45 and 996.58

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Solution

The fourth proportional to 3,918.29, 5,877.45 and 996.58 is: 1,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.29 : 5,877.45 = 996.58 : x
  2. Step 2: Convert to fraction form
    3,918.29/5,877.45 = 996.58/x
  3. Step 3: Cross multiply
    3,918.29x = 5,877.45 × 996.58
  4. Step 4: Simplify right side
    3,918.29x = 5,857,349.12
  5. Step 5: Solve for x
    x = 5,857,349.12/3,918.29
  6. Step 6: Final answer
    x = 1,494.87

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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.