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Finding the Fourth Proportional to 4,222.71, 6,334.07 and 1,882.11

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Solution

The fourth proportional to 4,222.71, 6,334.07 and 1,882.11 is: 2,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.71 : 6,334.07 = 1,882.11 : x
  2. Step 2: Convert to fraction form
    4,222.71/6,334.07 = 1,882.11/x
  3. Step 3: Cross multiply
    4,222.71x = 6,334.07 × 1,882.11
  4. Step 4: Simplify right side
    4,222.71x = 11,921,407.08
  5. Step 5: Solve for x
    x = 11,921,407.08/4,222.71
  6. Step 6: Final answer
    x = 2,823.17

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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.