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Finding the Fourth Proportional to 3,754.35, 5,631.93 and 1,290.87

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Solution

The fourth proportional to 3,754.35, 5,631.93 and 1,290.87 is: 1,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.35 : 5,631.93 = 1,290.87 : x
  2. Step 2: Convert to fraction form
    3,754.35/5,631.93 = 1,290.87/x
  3. Step 3: Cross multiply
    3,754.35x = 5,631.93 × 1,290.87
  4. Step 4: Simplify right side
    3,754.35x = 7,270,089.48
  5. Step 5: Solve for x
    x = 7,270,089.48/3,754.35
  6. Step 6: Final answer
    x = 1,936.44

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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.