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Finding the Fourth Proportional to 5,626.29, 7,764.29 and 4,137.01

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Solution

The fourth proportional to 5,626.29, 7,764.29 and 4,137.01 is: 5,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.29 : 7,764.29 = 4,137.01 : x
  2. Step 2: Convert to fraction form
    5,626.29/7,764.29 = 4,137.01/x
  3. Step 3: Cross multiply
    5,626.29x = 7,764.29 × 4,137.01
  4. Step 4: Simplify right side
    5,626.29x = 32,120,920.79
  5. Step 5: Solve for x
    x = 32,120,920.79/5,626.29
  6. Step 6: Final answer
    x = 5,709.07

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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.