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Finding the Fourth Proportional to 3,415.39, 5,123.07 and 1,224.28

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Solution

The fourth proportional to 3,415.39, 5,123.07 and 1,224.28 is: 1,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.39 : 5,123.07 = 1,224.28 : x
  2. Step 2: Convert to fraction form
    3,415.39/5,123.07 = 1,224.28/x
  3. Step 3: Cross multiply
    3,415.39x = 5,123.07 × 1,224.28
  4. Step 4: Simplify right side
    3,415.39x = 6,272,072.14
  5. Step 5: Solve for x
    x = 6,272,072.14/3,415.39
  6. Step 6: Final answer
    x = 1,836.41

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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.