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Finding the Fourth Proportional to 3,544.92, 5,311.98 and 3,177.72

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Solution

The fourth proportional to 3,544.92, 5,311.98 and 3,177.72 is: 4,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.92 : 5,311.98 = 3,177.72 : x
  2. Step 2: Convert to fraction form
    3,544.92/5,311.98 = 3,177.72/x
  3. Step 3: Cross multiply
    3,544.92x = 5,311.98 × 3,177.72
  4. Step 4: Simplify right side
    3,544.92x = 16,879,985.09
  5. Step 5: Solve for x
    x = 16,879,985.09/3,544.92
  6. Step 6: Final answer
    x = 4,761.74

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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.