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Finding the Fourth Proportional to 3,754.63, 5,625.78 and 1,288.11

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Solution

The fourth proportional to 3,754.63, 5,625.78 and 1,288.11 is: 1,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.63 : 5,625.78 = 1,288.11 : x
  2. Step 2: Convert to fraction form
    3,754.63/5,625.78 = 1,288.11/x
  3. Step 3: Cross multiply
    3,754.63x = 5,625.78 × 1,288.11
  4. Step 4: Simplify right side
    3,754.63x = 7,246,623.48
  5. Step 5: Solve for x
    x = 7,246,623.48/3,754.63
  6. Step 6: Final answer
    x = 1,930.05

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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.