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Finding the Fourth Proportional to 5,748.66, 8,621.19 and 3,811.14

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Solution

The fourth proportional to 5,748.66, 8,621.19 and 3,811.14 is: 5,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.66 : 8,621.19 = 3,811.14 : x
  2. Step 2: Convert to fraction form
    5,748.66/8,621.19 = 3,811.14/x
  3. Step 3: Cross multiply
    5,748.66x = 8,621.19 × 3,811.14
  4. Step 4: Simplify right side
    5,748.66x = 32,856,562.06
  5. Step 5: Solve for x
    x = 32,856,562.06/5,748.66
  6. Step 6: Final answer
    x = 5,715.52

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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.