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Finding the Fourth Proportional to 5,803.60, 8,011.56 and 3,446.50

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Solution

The fourth proportional to 5,803.60, 8,011.56 and 3,446.50 is: 4,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.60 : 8,011.56 = 3,446.50 : x
  2. Step 2: Convert to fraction form
    5,803.60/8,011.56 = 3,446.50/x
  3. Step 3: Cross multiply
    5,803.60x = 8,011.56 × 3,446.50
  4. Step 4: Simplify right side
    5,803.60x = 27,611,841.54
  5. Step 5: Solve for x
    x = 27,611,841.54/5,803.60
  6. Step 6: Final answer
    x = 4,757.71

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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.