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Finding the Fourth Proportional to 3,645.12, 5,462.64 and 3,156.96

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Solution

The fourth proportional to 3,645.12, 5,462.64 and 3,156.96 is: 4,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.12 : 5,462.64 = 3,156.96 : x
  2. Step 2: Convert to fraction form
    3,645.12/5,462.64 = 3,156.96/x
  3. Step 3: Cross multiply
    3,645.12x = 5,462.64 × 3,156.96
  4. Step 4: Simplify right side
    3,645.12x = 17,245,335.97
  5. Step 5: Solve for x
    x = 17,245,335.97/3,645.12
  6. Step 6: Final answer
    x = 4,731.07

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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.