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Finding the Fourth Proportional to 3,566.73, 5,347.20 and 1,488.28

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Solution

The fourth proportional to 3,566.73, 5,347.20 and 1,488.28 is: 2,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.73 : 5,347.20 = 1,488.28 : x
  2. Step 2: Convert to fraction form
    3,566.73/5,347.20 = 1,488.28/x
  3. Step 3: Cross multiply
    3,566.73x = 5,347.20 × 1,488.28
  4. Step 4: Simplify right side
    3,566.73x = 7,958,145.29
  5. Step 5: Solve for x
    x = 7,958,145.29/3,566.73
  6. Step 6: Final answer
    x = 2,231.22

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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.