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Finding the Fourth Proportional to 3,439.64, 5,159.64 and 2,053.64

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Solution

The fourth proportional to 3,439.64, 5,159.64 and 2,053.64 is: 3,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.64 : 5,159.64 = 2,053.64 : x
  2. Step 2: Convert to fraction form
    3,439.64/5,159.64 = 2,053.64/x
  3. Step 3: Cross multiply
    3,439.64x = 5,159.64 × 2,053.64
  4. Step 4: Simplify right side
    3,439.64x = 10,596,043.09
  5. Step 5: Solve for x
    x = 10,596,043.09/3,439.64
  6. Step 6: Final answer
    x = 3,080.57

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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.