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Finding the Fourth Proportional to 5,367.82, 7,407.67 and 3,243.06

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Solution

The fourth proportional to 5,367.82, 7,407.67 and 3,243.06 is: 4,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.82 : 7,407.67 = 3,243.06 : x
  2. Step 2: Convert to fraction form
    5,367.82/7,407.67 = 3,243.06/x
  3. Step 3: Cross multiply
    5,367.82x = 7,407.67 × 3,243.06
  4. Step 4: Simplify right side
    5,367.82x = 24,023,482.38
  5. Step 5: Solve for x
    x = 24,023,482.38/5,367.82
  6. Step 6: Final answer
    x = 4,475.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.