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Finding the Fourth Proportional to 3,396.61, 5,095.46 and 1,448.83

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Solution

The fourth proportional to 3,396.61, 5,095.46 and 1,448.83 is: 2,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.61 : 5,095.46 = 1,448.83 : x
  2. Step 2: Convert to fraction form
    3,396.61/5,095.46 = 1,448.83/x
  3. Step 3: Cross multiply
    3,396.61x = 5,095.46 × 1,448.83
  4. Step 4: Simplify right side
    3,396.61x = 7,382,455.31
  5. Step 5: Solve for x
    x = 7,382,455.31/3,396.61
  6. Step 6: Final answer
    x = 2,173.48

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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.