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Finding the Fourth Proportional to 3,722.58, 5,135.51 and 2,305.89

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Solution

The fourth proportional to 3,722.58, 5,135.51 and 2,305.89 is: 3,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.58 : 5,135.51 = 2,305.89 : x
  2. Step 2: Convert to fraction form
    3,722.58/5,135.51 = 2,305.89/x
  3. Step 3: Cross multiply
    3,722.58x = 5,135.51 × 2,305.89
  4. Step 4: Simplify right side
    3,722.58x = 11,841,921.15
  5. Step 5: Solve for x
    x = 11,841,921.15/3,722.58
  6. Step 6: Final answer
    x = 3,181.11

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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.