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Finding the Fourth Proportional to 3,415.52, 5,123.94 and 1,335.44

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Solution

The fourth proportional to 3,415.52, 5,123.94 and 1,335.44 is: 2,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.52 : 5,123.94 = 1,335.44 : x
  2. Step 2: Convert to fraction form
    3,415.52/5,123.94 = 1,335.44/x
  3. Step 3: Cross multiply
    3,415.52x = 5,123.94 × 1,335.44
  4. Step 4: Simplify right side
    3,415.52x = 6,842,714.43
  5. Step 5: Solve for x
    x = 6,842,714.43/3,415.52
  6. Step 6: Final answer
    x = 2,003.42

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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.