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Finding the Fourth Proportional to 5,967.24, 8,952.33 and 4,215.69

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Solution

The fourth proportional to 5,967.24, 8,952.33 and 4,215.69 is: 6,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.24 : 8,952.33 = 4,215.69 : x
  2. Step 2: Convert to fraction form
    5,967.24/8,952.33 = 4,215.69/x
  3. Step 3: Cross multiply
    5,967.24x = 8,952.33 × 4,215.69
  4. Step 4: Simplify right side
    5,967.24x = 37,740,248.06
  5. Step 5: Solve for x
    x = 37,740,248.06/5,967.24
  6. Step 6: Final answer
    x = 6,324.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.