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Finding the Fourth Proportional to 3,771.45, 5,205.13 and 3,141.07

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Solution

The fourth proportional to 3,771.45, 5,205.13 and 3,141.07 is: 4,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.45 : 5,205.13 = 3,141.07 : x
  2. Step 2: Convert to fraction form
    3,771.45/5,205.13 = 3,141.07/x
  3. Step 3: Cross multiply
    3,771.45x = 5,205.13 × 3,141.07
  4. Step 4: Simplify right side
    3,771.45x = 16,349,656.82
  5. Step 5: Solve for x
    x = 16,349,656.82/3,771.45
  6. Step 6: Final answer
    x = 4,335.11

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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.