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Finding the Fourth Proportional to 5,564.85, 7,679.58 and 3,046.92

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Solution

The fourth proportional to 5,564.85, 7,679.58 and 3,046.92 is: 4,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.85 : 7,679.58 = 3,046.92 : x
  2. Step 2: Convert to fraction form
    5,564.85/7,679.58 = 3,046.92/x
  3. Step 3: Cross multiply
    5,564.85x = 7,679.58 × 3,046.92
  4. Step 4: Simplify right side
    5,564.85x = 23,399,025.67
  5. Step 5: Solve for x
    x = 23,399,025.67/5,564.85
  6. Step 6: Final answer
    x = 4,204.79

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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.