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Finding the Fourth Proportional to 3,633.42, 5,448.97 and 1,167.65

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Solution

The fourth proportional to 3,633.42, 5,448.97 and 1,167.65 is: 1,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.42 : 5,448.97 = 1,167.65 : x
  2. Step 2: Convert to fraction form
    3,633.42/5,448.97 = 1,167.65/x
  3. Step 3: Cross multiply
    3,633.42x = 5,448.97 × 1,167.65
  4. Step 4: Simplify right side
    3,633.42x = 6,362,484.47
  5. Step 5: Solve for x
    x = 6,362,484.47/3,633.42
  6. Step 6: Final answer
    x = 1,751.10

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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.