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Finding the Fourth Proportional to 5,622.98, 7,758.69 and 3,949.50

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Solution

The fourth proportional to 5,622.98, 7,758.69 and 3,949.50 is: 5,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.98 : 7,758.69 = 3,949.50 : x
  2. Step 2: Convert to fraction form
    5,622.98/7,758.69 = 3,949.50/x
  3. Step 3: Cross multiply
    5,622.98x = 7,758.69 × 3,949.50
  4. Step 4: Simplify right side
    5,622.98x = 30,642,946.16
  5. Step 5: Solve for x
    x = 30,642,946.16/5,622.98
  6. Step 6: Final answer
    x = 5,449.59

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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.