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Finding the Fourth Proportional to 3,654.31, 5,041.20 and 3,512.86

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Solution

The fourth proportional to 3,654.31, 5,041.20 and 3,512.86 is: 4,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.31 : 5,041.20 = 3,512.86 : x
  2. Step 2: Convert to fraction form
    3,654.31/5,041.20 = 3,512.86/x
  3. Step 3: Cross multiply
    3,654.31x = 5,041.20 × 3,512.86
  4. Step 4: Simplify right side
    3,654.31x = 17,709,029.83
  5. Step 5: Solve for x
    x = 17,709,029.83/3,654.31
  6. Step 6: Final answer
    x = 4,846.07

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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.