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Finding the Fourth Proportional to 5,097.88, 7,649.13 and 3,021.98

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Solution

The fourth proportional to 5,097.88, 7,649.13 and 3,021.98 is: 4,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.88 : 7,649.13 = 3,021.98 : x
  2. Step 2: Convert to fraction form
    5,097.88/7,649.13 = 3,021.98/x
  3. Step 3: Cross multiply
    5,097.88x = 7,649.13 × 3,021.98
  4. Step 4: Simplify right side
    5,097.88x = 23,115,517.88
  5. Step 5: Solve for x
    x = 23,115,517.88/5,097.88
  6. Step 6: Final answer
    x = 4,534.34

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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.