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Finding the Fourth Proportional to 5,193.62, 7,780.35 and 4,611.86

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Solution

The fourth proportional to 5,193.62, 7,780.35 and 4,611.86 is: 6,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.62 : 7,780.35 = 4,611.86 : x
  2. Step 2: Convert to fraction form
    5,193.62/7,780.35 = 4,611.86/x
  3. Step 3: Cross multiply
    5,193.62x = 7,780.35 × 4,611.86
  4. Step 4: Simplify right side
    5,193.62x = 35,881,884.95
  5. Step 5: Solve for x
    x = 35,881,884.95/5,193.62
  6. Step 6: Final answer
    x = 6,908.84

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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.