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Finding the Fourth Proportional to 5,622.03, 7,758.20 and 3,069.75

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Solution

The fourth proportional to 5,622.03, 7,758.20 and 3,069.75 is: 4,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.03 : 7,758.20 = 3,069.75 : x
  2. Step 2: Convert to fraction form
    5,622.03/7,758.20 = 3,069.75/x
  3. Step 3: Cross multiply
    5,622.03x = 7,758.20 × 3,069.75
  4. Step 4: Simplify right side
    5,622.03x = 23,815,695.66
  5. Step 5: Solve for x
    x = 23,815,695.66/5,622.03
  6. Step 6: Final answer
    x = 4,236.14

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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.