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Finding the Fourth Proportional to 3,699.82, 5,107.20 and 2,521.54

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Solution

The fourth proportional to 3,699.82, 5,107.20 and 2,521.54 is: 3,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.82 : 5,107.20 = 2,521.54 : x
  2. Step 2: Convert to fraction form
    3,699.82/5,107.20 = 2,521.54/x
  3. Step 3: Cross multiply
    3,699.82x = 5,107.20 × 2,521.54
  4. Step 4: Simplify right side
    3,699.82x = 12,878,009.09
  5. Step 5: Solve for x
    x = 12,878,009.09/3,699.82
  6. Step 6: Final answer
    x = 3,480.71

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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.