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Finding the Fourth Proportional to 3,902.77, 5,385.09 and 2,309.05

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Solution

The fourth proportional to 3,902.77, 5,385.09 and 2,309.05 is: 3,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.77 : 5,385.09 = 2,309.05 : x
  2. Step 2: Convert to fraction form
    3,902.77/5,385.09 = 2,309.05/x
  3. Step 3: Cross multiply
    3,902.77x = 5,385.09 × 2,309.05
  4. Step 4: Simplify right side
    3,902.77x = 12,434,442.06
  5. Step 5: Solve for x
    x = 12,434,442.06/3,902.77
  6. Step 6: Final answer
    x = 3,186.06

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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.