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Finding the Fourth Proportional to 3,910.40, 5,866.58 and 1,137

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Solution

The fourth proportional to 3,910.40, 5,866.58 and 1,137 is: 1,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.40 : 5,866.58 = 1,137 : x
  2. Step 2: Convert to fraction form
    3,910.40/5,866.58 = 1,137/x
  3. Step 3: Cross multiply
    3,910.40x = 5,866.58 × 1,137
  4. Step 4: Simplify right side
    3,910.40x = 6,670,304.30
  5. Step 5: Solve for x
    x = 6,670,304.30/3,910.40
  6. Step 6: Final answer
    x = 1,705.79

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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.