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Finding the Fourth Proportional to 5,603.87, 7,733.40 and 3,086.22

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Solution

The fourth proportional to 5,603.87, 7,733.40 and 3,086.22 is: 4,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.87 : 7,733.40 = 3,086.22 : x
  2. Step 2: Convert to fraction form
    5,603.87/7,733.40 = 3,086.22/x
  3. Step 3: Cross multiply
    5,603.87x = 7,733.40 × 3,086.22
  4. Step 4: Simplify right side
    5,603.87x = 23,866,965.03
  5. Step 5: Solve for x
    x = 23,866,965.03/5,603.87
  6. Step 6: Final answer
    x = 4,259.01

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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.