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Finding the Fourth Proportional to 3,544.97, 5,315.66 and 2,064.68

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Solution

The fourth proportional to 3,544.97, 5,315.66 and 2,064.68 is: 3,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.97 : 5,315.66 = 2,064.68 : x
  2. Step 2: Convert to fraction form
    3,544.97/5,315.66 = 2,064.68/x
  3. Step 3: Cross multiply
    3,544.97x = 5,315.66 × 2,064.68
  4. Step 4: Simplify right side
    3,544.97x = 10,975,110.31
  5. Step 5: Solve for x
    x = 10,975,110.31/3,544.97
  6. Step 6: Final answer
    x = 3,095.97

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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.