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Finding the Fourth Proportional to 3,565.23, 5,347.44 and 967.97

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Solution

The fourth proportional to 3,565.23, 5,347.44 and 967.97 is: 1,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.23 : 5,347.44 = 967.97 : x
  2. Step 2: Convert to fraction form
    3,565.23/5,347.44 = 967.97/x
  3. Step 3: Cross multiply
    3,565.23x = 5,347.44 × 967.97
  4. Step 4: Simplify right side
    3,565.23x = 5,176,161.50
  5. Step 5: Solve for x
    x = 5,176,161.50/3,565.23
  6. Step 6: Final answer
    x = 1,451.85

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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.