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Finding the Fourth Proportional to 3,454.51, 5,183.29 and 1,810.66

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Solution

The fourth proportional to 3,454.51, 5,183.29 and 1,810.66 is: 2,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.51 : 5,183.29 = 1,810.66 : x
  2. Step 2: Convert to fraction form
    3,454.51/5,183.29 = 1,810.66/x
  3. Step 3: Cross multiply
    3,454.51x = 5,183.29 × 1,810.66
  4. Step 4: Simplify right side
    3,454.51x = 9,385,175.87
  5. Step 5: Solve for x
    x = 9,385,175.87/3,454.51
  6. Step 6: Final answer
    x = 2,716.79

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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.