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Finding the Fourth Proportional to 4,215.64, 6,324.21 and 1,441.66

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Solution

The fourth proportional to 4,215.64, 6,324.21 and 1,441.66 is: 2,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.64 : 6,324.21 = 1,441.66 : x
  2. Step 2: Convert to fraction form
    4,215.64/6,324.21 = 1,441.66/x
  3. Step 3: Cross multiply
    4,215.64x = 6,324.21 × 1,441.66
  4. Step 4: Simplify right side
    4,215.64x = 9,117,353.38
  5. Step 5: Solve for x
    x = 9,117,353.38/4,215.64
  6. Step 6: Final answer
    x = 2,162.74

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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.