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Finding the Fourth Proportional to 5,679.75, 7,812.04 and 4,558.23

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Solution

The fourth proportional to 5,679.75, 7,812.04 and 4,558.23 is: 6,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.75 : 7,812.04 = 4,558.23 : x
  2. Step 2: Convert to fraction form
    5,679.75/7,812.04 = 4,558.23/x
  3. Step 3: Cross multiply
    5,679.75x = 7,812.04 × 4,558.23
  4. Step 4: Simplify right side
    5,679.75x = 35,609,052.30
  5. Step 5: Solve for x
    x = 35,609,052.30/5,679.75
  6. Step 6: Final answer
    x = 6,269.48

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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.