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Finding the Fourth Proportional to 4,097.60, 5,650.22 and 2,769

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Solution

The fourth proportional to 4,097.60, 5,650.22 and 2,769 is: 3,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.60 : 5,650.22 = 2,769 : x
  2. Step 2: Convert to fraction form
    4,097.60/5,650.22 = 2,769/x
  3. Step 3: Cross multiply
    4,097.60x = 5,650.22 × 2,769
  4. Step 4: Simplify right side
    4,097.60x = 15,645,459.18
  5. Step 5: Solve for x
    x = 15,645,459.18/4,097.60
  6. Step 6: Final answer
    x = 3,818.20

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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.