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Finding the Fourth Proportional to 3,681, 5,521.62 and 1,629

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Solution

The fourth proportional to 3,681, 5,521.62 and 1,629 is: 2,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681 : 5,521.62 = 1,629 : x
  2. Step 2: Convert to fraction form
    3,681/5,521.62 = 1,629/x
  3. Step 3: Cross multiply
    3,681x = 5,521.62 × 1,629
  4. Step 4: Simplify right side
    3,681x = 8,994,718.98
  5. Step 5: Solve for x
    x = 8,994,718.98/3,681
  6. Step 6: Final answer
    x = 2,443.55

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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.