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Finding the Fourth Proportional to 3,531.65, 4,873.64 and 2,039.54

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Solution

The fourth proportional to 3,531.65, 4,873.64 and 2,039.54 is: 2,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.65 : 4,873.64 = 2,039.54 : x
  2. Step 2: Convert to fraction form
    3,531.65/4,873.64 = 2,039.54/x
  3. Step 3: Cross multiply
    3,531.65x = 4,873.64 × 2,039.54
  4. Step 4: Simplify right side
    3,531.65x = 9,939,949.16
  5. Step 5: Solve for x
    x = 9,939,949.16/3,531.65
  6. Step 6: Final answer
    x = 2,814.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.