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Finding the Fourth Proportional to 3,537, 5,305.80 and 939.96

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Solution

The fourth proportional to 3,537, 5,305.80 and 939.96 is: 1,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 5,305.80 = 939.96 : x
  2. Step 2: Convert to fraction form
    3,537/5,305.80 = 939.96/x
  3. Step 3: Cross multiply
    3,537x = 5,305.80 × 939.96
  4. Step 4: Simplify right side
    3,537x = 4,987,239.77
  5. Step 5: Solve for x
    x = 4,987,239.77/3,537
  6. Step 6: Final answer
    x = 1,410.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.