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Finding the Fourth Proportional to 4,497.92, 6,744.45 and 1,724.00

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Solution

The fourth proportional to 4,497.92, 6,744.45 and 1,724.00 is: 2,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.92 : 6,744.45 = 1,724.00 : x
  2. Step 2: Convert to fraction form
    4,497.92/6,744.45 = 1,724.00/x
  3. Step 3: Cross multiply
    4,497.92x = 6,744.45 × 1,724.00
  4. Step 4: Simplify right side
    4,497.92x = 11,627,398.08
  5. Step 5: Solve for x
    x = 11,627,398.08/4,497.92
  6. Step 6: Final answer
    x = 2,585.06

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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.