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Finding the Fourth Proportional to 4,099.77, 5,647.80 and 3,260.22

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Solution

The fourth proportional to 4,099.77, 5,647.80 and 3,260.22 is: 4,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.77 : 5,647.80 = 3,260.22 : x
  2. Step 2: Convert to fraction form
    4,099.77/5,647.80 = 3,260.22/x
  3. Step 3: Cross multiply
    4,099.77x = 5,647.80 × 3,260.22
  4. Step 4: Simplify right side
    4,099.77x = 18,413,070.52
  5. Step 5: Solve for x
    x = 18,413,070.52/4,099.77
  6. Step 6: Final answer
    x = 4,491.24

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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.