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Finding the Fourth Proportional to 3,682.52, 5,078.67 and 2,355.74

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Solution

The fourth proportional to 3,682.52, 5,078.67 and 2,355.74 is: 3,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.52 : 5,078.67 = 2,355.74 : x
  2. Step 2: Convert to fraction form
    3,682.52/5,078.67 = 2,355.74/x
  3. Step 3: Cross multiply
    3,682.52x = 5,078.67 × 2,355.74
  4. Step 4: Simplify right side
    3,682.52x = 11,964,026.07
  5. Step 5: Solve for x
    x = 11,964,026.07/3,682.52
  6. Step 6: Final answer
    x = 3,248.87

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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.