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Finding the Fourth Proportional to 3,574.60, 5,358.02 and 1,724.44

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Solution

The fourth proportional to 3,574.60, 5,358.02 and 1,724.44 is: 2,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.60 : 5,358.02 = 1,724.44 : x
  2. Step 2: Convert to fraction form
    3,574.60/5,358.02 = 1,724.44/x
  3. Step 3: Cross multiply
    3,574.60x = 5,358.02 × 1,724.44
  4. Step 4: Simplify right side
    3,574.60x = 9,239,584.01
  5. Step 5: Solve for x
    x = 9,239,584.01/3,574.60
  6. Step 6: Final answer
    x = 2,584.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.