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Finding the Fourth Proportional to 4,019.22, 6,029.10 and 1,097.28

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Solution

The fourth proportional to 4,019.22, 6,029.10 and 1,097.28 is: 1,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.22 : 6,029.10 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    4,019.22/6,029.10 = 1,097.28/x
  3. Step 3: Cross multiply
    4,019.22x = 6,029.10 × 1,097.28
  4. Step 4: Simplify right side
    4,019.22x = 6,615,610.85
  5. Step 5: Solve for x
    x = 6,615,610.85/4,019.22
  6. Step 6: Final answer
    x = 1,645.99

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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.