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Finding the Fourth Proportional to 3,906.98, 5,390.77 and 2,312.83

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Solution

The fourth proportional to 3,906.98, 5,390.77 and 2,312.83 is: 3,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.98 : 5,390.77 = 2,312.83 : x
  2. Step 2: Convert to fraction form
    3,906.98/5,390.77 = 2,312.83/x
  3. Step 3: Cross multiply
    3,906.98x = 5,390.77 × 2,312.83
  4. Step 4: Simplify right side
    3,906.98x = 12,467,934.58
  5. Step 5: Solve for x
    x = 12,467,934.58/3,906.98
  6. Step 6: Final answer
    x = 3,191.19

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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.