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Finding the Fourth Proportional to 3,482.73, 5,226.84 and 1,292.13

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Solution

The fourth proportional to 3,482.73, 5,226.84 and 1,292.13 is: 1,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.73 : 5,226.84 = 1,292.13 : x
  2. Step 2: Convert to fraction form
    3,482.73/5,226.84 = 1,292.13/x
  3. Step 3: Cross multiply
    3,482.73x = 5,226.84 × 1,292.13
  4. Step 4: Simplify right side
    3,482.73x = 6,753,756.77
  5. Step 5: Solve for x
    x = 6,753,756.77/3,482.73
  6. Step 6: Final answer
    x = 1,939.21

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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.