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Finding the Fourth Proportional to 5,098.22, 7,649.67 and 3,022.34

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Solution

The fourth proportional to 5,098.22, 7,649.67 and 3,022.34 is: 4,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.22 : 7,649.67 = 3,022.34 : x
  2. Step 2: Convert to fraction form
    5,098.22/7,649.67 = 3,022.34/x
  3. Step 3: Cross multiply
    5,098.22x = 7,649.67 × 3,022.34
  4. Step 4: Simplify right side
    5,098.22x = 23,119,903.63
  5. Step 5: Solve for x
    x = 23,119,903.63/5,098.22
  6. Step 6: Final answer
    x = 4,534.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.