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Finding the Fourth Proportional to 3,407.76, 4,699.44 and 2,227.68

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Solution

The fourth proportional to 3,407.76, 4,699.44 and 2,227.68 is: 3,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.76 : 4,699.44 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    3,407.76/4,699.44 = 2,227.68/x
  3. Step 3: Cross multiply
    3,407.76x = 4,699.44 × 2,227.68
  4. Step 4: Simplify right side
    3,407.76x = 10,468,848.50
  5. Step 5: Solve for x
    x = 10,468,848.50/3,407.76
  6. Step 6: Final answer
    x = 3,072.06

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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.