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Finding the Fourth Proportional to 3,646.42, 5,441.17 and 3,253.72

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Solution

The fourth proportional to 3,646.42, 5,441.17 and 3,253.72 is: 4,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.42 : 5,441.17 = 3,253.72 : x
  2. Step 2: Convert to fraction form
    3,646.42/5,441.17 = 3,253.72/x
  3. Step 3: Cross multiply
    3,646.42x = 5,441.17 × 3,253.72
  4. Step 4: Simplify right side
    3,646.42x = 17,704,043.65
  5. Step 5: Solve for x
    x = 17,704,043.65/3,646.42
  6. Step 6: Final answer
    x = 4,855.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.