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Finding the Fourth Proportional to 3,544.64, 4,891.40 and 2,052.45

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Solution

The fourth proportional to 3,544.64, 4,891.40 and 2,052.45 is: 2,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.64 : 4,891.40 = 2,052.45 : x
  2. Step 2: Convert to fraction form
    3,544.64/4,891.40 = 2,052.45/x
  3. Step 3: Cross multiply
    3,544.64x = 4,891.40 × 2,052.45
  4. Step 4: Simplify right side
    3,544.64x = 10,039,369.71
  5. Step 5: Solve for x
    x = 10,039,369.71/3,544.64
  6. Step 6: Final answer
    x = 2,832.27

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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.