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Finding the Fourth Proportional to 5,564.90, 7,679.27 and 3,046.88

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Solution

The fourth proportional to 5,564.90, 7,679.27 and 3,046.88 is: 4,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.90 : 7,679.27 = 3,046.88 : x
  2. Step 2: Convert to fraction form
    5,564.90/7,679.27 = 3,046.88/x
  3. Step 3: Cross multiply
    5,564.90x = 7,679.27 × 3,046.88
  4. Step 4: Simplify right side
    5,564.90x = 23,397,798.94
  5. Step 5: Solve for x
    x = 23,397,798.94/5,564.90
  6. Step 6: Final answer
    x = 4,204.53

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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.