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Finding the Fourth Proportional to 5,603.94, 7,733.28 and 3,086.10

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Solution

The fourth proportional to 5,603.94, 7,733.28 and 3,086.10 is: 4,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.94 : 7,733.28 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    5,603.94/7,733.28 = 3,086.10/x
  3. Step 3: Cross multiply
    5,603.94x = 7,733.28 × 3,086.10
  4. Step 4: Simplify right side
    5,603.94x = 23,865,675.41
  5. Step 5: Solve for x
    x = 23,865,675.41/5,603.94
  6. Step 6: Final answer
    x = 4,258.73

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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.