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Finding the Fourth Proportional to 4,159.84, 5,737.08 and 3,226.72

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Solution

The fourth proportional to 4,159.84, 5,737.08 and 3,226.72 is: 4,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.84 : 5,737.08 = 3,226.72 : x
  2. Step 2: Convert to fraction form
    4,159.84/5,737.08 = 3,226.72/x
  3. Step 3: Cross multiply
    4,159.84x = 5,737.08 × 3,226.72
  4. Step 4: Simplify right side
    4,159.84x = 18,511,950.78
  5. Step 5: Solve for x
    x = 18,511,950.78/4,159.84
  6. Step 6: Final answer
    x = 4,450.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.