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Finding the Fourth Proportional to 5,611.68, 7,740.27 and 3,253.86

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Solution

The fourth proportional to 5,611.68, 7,740.27 and 3,253.86 is: 4,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.68 : 7,740.27 = 3,253.86 : x
  2. Step 2: Convert to fraction form
    5,611.68/7,740.27 = 3,253.86/x
  3. Step 3: Cross multiply
    5,611.68x = 7,740.27 × 3,253.86
  4. Step 4: Simplify right side
    5,611.68x = 25,185,754.94
  5. Step 5: Solve for x
    x = 25,185,754.94/5,611.68
  6. Step 6: Final answer
    x = 4,488.10

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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.