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Finding the Fourth Proportional to 3,574.61, 5,358.01 and 1,724.43

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Solution

The fourth proportional to 3,574.61, 5,358.01 and 1,724.43 is: 2,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.61 : 5,358.01 = 1,724.43 : x
  2. Step 2: Convert to fraction form
    3,574.61/5,358.01 = 1,724.43/x
  3. Step 3: Cross multiply
    3,574.61x = 5,358.01 × 1,724.43
  4. Step 4: Simplify right side
    3,574.61x = 9,239,513.18
  5. Step 5: Solve for x
    x = 9,239,513.18/3,574.61
  6. Step 6: Final answer
    x = 2,584.76

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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.