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Finding the Fourth Proportional to 4,611.78, 6,366.15 and 3,493.02

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Solution

The fourth proportional to 4,611.78, 6,366.15 and 3,493.02 is: 4,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.78 : 6,366.15 = 3,493.02 : x
  2. Step 2: Convert to fraction form
    4,611.78/6,366.15 = 3,493.02/x
  3. Step 3: Cross multiply
    4,611.78x = 6,366.15 × 3,493.02
  4. Step 4: Simplify right side
    4,611.78x = 22,237,089.27
  5. Step 5: Solve for x
    x = 22,237,089.27/4,611.78
  6. Step 6: Final answer
    x = 4,821.80

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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.