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Finding the Fourth Proportional to 3,918.06, 5,877.06 and 996.34

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Solution

The fourth proportional to 3,918.06, 5,877.06 and 996.34 is: 1,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.06 : 5,877.06 = 996.34 : x
  2. Step 2: Convert to fraction form
    3,918.06/5,877.06 = 996.34/x
  3. Step 3: Cross multiply
    3,918.06x = 5,877.06 × 996.34
  4. Step 4: Simplify right side
    3,918.06x = 5,855,549.96
  5. Step 5: Solve for x
    x = 5,855,549.96/3,918.06
  6. Step 6: Final answer
    x = 1,494.50

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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.