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Finding the Fourth Proportional to 4,498.32, 6,747.22 and 1,724.88

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Solution

The fourth proportional to 4,498.32, 6,747.22 and 1,724.88 is: 2,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.32 : 6,747.22 = 1,724.88 : x
  2. Step 2: Convert to fraction form
    4,498.32/6,747.22 = 1,724.88/x
  3. Step 3: Cross multiply
    4,498.32x = 6,747.22 × 1,724.88
  4. Step 4: Simplify right side
    4,498.32x = 11,638,140.52
  5. Step 5: Solve for x
    x = 11,638,140.52/4,498.32
  6. Step 6: Final answer
    x = 2,587.22

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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.