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Finding the Fourth Proportional to 5,760.90, 8,626.23 and 4,463.46

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Solution

The fourth proportional to 5,760.90, 8,626.23 and 4,463.46 is: 6,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.90 : 8,626.23 = 4,463.46 : x
  2. Step 2: Convert to fraction form
    5,760.90/8,626.23 = 4,463.46/x
  3. Step 3: Cross multiply
    5,760.90x = 8,626.23 × 4,463.46
  4. Step 4: Simplify right side
    5,760.90x = 38,502,832.56
  5. Step 5: Solve for x
    x = 38,502,832.56/5,760.90
  6. Step 6: Final answer
    x = 6,683.48

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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.