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Finding the Fourth Proportional to 4,185.68, 5,803.85 and 4,046.90

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Solution

The fourth proportional to 4,185.68, 5,803.85 and 4,046.90 is: 5,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.68 : 5,803.85 = 4,046.90 : x
  2. Step 2: Convert to fraction form
    4,185.68/5,803.85 = 4,046.90/x
  3. Step 3: Cross multiply
    4,185.68x = 5,803.85 × 4,046.90
  4. Step 4: Simplify right side
    4,185.68x = 23,487,600.57
  5. Step 5: Solve for x
    x = 23,487,600.57/4,185.68
  6. Step 6: Final answer
    x = 5,611.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.