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Finding the Fourth Proportional to 5,564.72, 7,679.20 and 3,046.77

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Solution

The fourth proportional to 5,564.72, 7,679.20 and 3,046.77 is: 4,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.72 : 7,679.20 = 3,046.77 : x
  2. Step 2: Convert to fraction form
    5,564.72/7,679.20 = 3,046.77/x
  3. Step 3: Cross multiply
    5,564.72x = 7,679.20 × 3,046.77
  4. Step 4: Simplify right side
    5,564.72x = 23,396,756.18
  5. Step 5: Solve for x
    x = 23,396,756.18/5,564.72
  6. Step 6: Final answer
    x = 4,204.48

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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.