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Finding the Fourth Proportional to 4,357.72, 6,532.06 and 1,724.14

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Solution

The fourth proportional to 4,357.72, 6,532.06 and 1,724.14 is: 2,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.72 : 6,532.06 = 1,724.14 : x
  2. Step 2: Convert to fraction form
    4,357.72/6,532.06 = 1,724.14/x
  3. Step 3: Cross multiply
    4,357.72x = 6,532.06 × 1,724.14
  4. Step 4: Simplify right side
    4,357.72x = 11,262,185.93
  5. Step 5: Solve for x
    x = 11,262,185.93/4,357.72
  6. Step 6: Final answer
    x = 2,584.42

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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.