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Finding the Fourth Proportional to 5,626.57, 7,764.27 and 3,108.65

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Solution

The fourth proportional to 5,626.57, 7,764.27 and 3,108.65 is: 4,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.57 : 7,764.27 = 3,108.65 : x
  2. Step 2: Convert to fraction form
    5,626.57/7,764.27 = 3,108.65/x
  3. Step 3: Cross multiply
    5,626.57x = 7,764.27 × 3,108.65
  4. Step 4: Simplify right side
    5,626.57x = 24,136,417.34
  5. Step 5: Solve for x
    x = 24,136,417.34/5,626.57
  6. Step 6: Final answer
    x = 4,289.72

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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.