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Finding the Fourth Proportional to 4,534.58, 6,805.28 and 3,367.31

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Solution

The fourth proportional to 4,534.58, 6,805.28 and 3,367.31 is: 5,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.58 : 6,805.28 = 3,367.31 : x
  2. Step 2: Convert to fraction form
    4,534.58/6,805.28 = 3,367.31/x
  3. Step 3: Cross multiply
    4,534.58x = 6,805.28 × 3,367.31
  4. Step 4: Simplify right side
    4,534.58x = 22,915,461.79
  5. Step 5: Solve for x
    x = 22,915,461.79/4,534.58
  6. Step 6: Final answer
    x = 5,053.49

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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.