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Finding the Fourth Proportional to 4,497.60, 6,743.20 and 1,723.20

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Solution

The fourth proportional to 4,497.60, 6,743.20 and 1,723.20 is: 2,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.60 : 6,743.20 = 1,723.20 : x
  2. Step 2: Convert to fraction form
    4,497.60/6,743.20 = 1,723.20/x
  3. Step 3: Cross multiply
    4,497.60x = 6,743.20 × 1,723.20
  4. Step 4: Simplify right side
    4,497.60x = 11,619,882.24
  5. Step 5: Solve for x
    x = 11,619,882.24/4,497.60
  6. Step 6: Final answer
    x = 2,583.57

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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.