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Finding the Fourth Proportional to 3,802.87, 5,704.59 and 1,029.64

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Solution

The fourth proportional to 3,802.87, 5,704.59 and 1,029.64 is: 1,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.87 : 5,704.59 = 1,029.64 : x
  2. Step 2: Convert to fraction form
    3,802.87/5,704.59 = 1,029.64/x
  3. Step 3: Cross multiply
    3,802.87x = 5,704.59 × 1,029.64
  4. Step 4: Simplify right side
    3,802.87x = 5,873,674.05
  5. Step 5: Solve for x
    x = 5,873,674.05/3,802.87
  6. Step 6: Final answer
    x = 1,544.54

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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.