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Finding the Fourth Proportional to 4,564.88, 6,847.14 and 3,174.12

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Solution

The fourth proportional to 4,564.88, 6,847.14 and 3,174.12 is: 4,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.88 : 6,847.14 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    4,564.88/6,847.14 = 3,174.12/x
  3. Step 3: Cross multiply
    4,564.88x = 6,847.14 × 3,174.12
  4. Step 4: Simplify right side
    4,564.88x = 21,733,644.02
  5. Step 5: Solve for x
    x = 21,733,644.02/4,564.88
  6. Step 6: Final answer
    x = 4,761.05

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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.