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Finding the Fourth Proportional to 5,603.28, 7,732.22 and 3,084.90

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Solution

The fourth proportional to 5,603.28, 7,732.22 and 3,084.90 is: 4,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.28 : 7,732.22 = 3,084.90 : x
  2. Step 2: Convert to fraction form
    5,603.28/7,732.22 = 3,084.90/x
  3. Step 3: Cross multiply
    5,603.28x = 7,732.22 × 3,084.90
  4. Step 4: Simplify right side
    5,603.28x = 23,853,125.48
  5. Step 5: Solve for x
    x = 23,853,125.48/5,603.28
  6. Step 6: Final answer
    x = 4,256.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.