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Finding the Fourth Proportional to 5,092.71, 7,632.94 and 4,422.21

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Solution

The fourth proportional to 5,092.71, 7,632.94 and 4,422.21 is: 6,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.71 : 7,632.94 = 4,422.21 : x
  2. Step 2: Convert to fraction form
    5,092.71/7,632.94 = 4,422.21/x
  3. Step 3: Cross multiply
    5,092.71x = 7,632.94 × 4,422.21
  4. Step 4: Simplify right side
    5,092.71x = 33,754,463.60
  5. Step 5: Solve for x
    x = 33,754,463.60/5,092.71
  6. Step 6: Final answer
    x = 6,628.00

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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.