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Finding the Fourth Proportional to 3,644.12, 5,462.82 and 1,335.32

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Solution

The fourth proportional to 3,644.12, 5,462.82 and 1,335.32 is: 2,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.12 : 5,462.82 = 1,335.32 : x
  2. Step 2: Convert to fraction form
    3,644.12/5,462.82 = 1,335.32/x
  3. Step 3: Cross multiply
    3,644.12x = 5,462.82 × 1,335.32
  4. Step 4: Simplify right side
    3,644.12x = 7,294,612.80
  5. Step 5: Solve for x
    x = 7,294,612.80/3,644.12
  6. Step 6: Final answer
    x = 2,001.75

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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.