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Finding the Fourth Proportional to 5,747.76, 8,621.66 and 2,285

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Solution

The fourth proportional to 5,747.76, 8,621.66 and 2,285 is: 3,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.76 : 8,621.66 = 2,285 : x
  2. Step 2: Convert to fraction form
    5,747.76/8,621.66 = 2,285/x
  3. Step 3: Cross multiply
    5,747.76x = 8,621.66 × 2,285
  4. Step 4: Simplify right side
    5,747.76x = 19,700,493.10
  5. Step 5: Solve for x
    x = 19,700,493.10/5,747.76
  6. Step 6: Final answer
    x = 3,427.51

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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.