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Finding the Fourth Proportional to 3,377.60, 5,065.64 and 1,732.08

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Solution

The fourth proportional to 3,377.60, 5,065.64 and 1,732.08 is: 2,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.60 : 5,065.64 = 1,732.08 : x
  2. Step 2: Convert to fraction form
    3,377.60/5,065.64 = 1,732.08/x
  3. Step 3: Cross multiply
    3,377.60x = 5,065.64 × 1,732.08
  4. Step 4: Simplify right side
    3,377.60x = 8,774,093.73
  5. Step 5: Solve for x
    x = 8,774,093.73/3,377.60
  6. Step 6: Final answer
    x = 2,597.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.