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Finding the Fourth Proportional to 5,626.16, 7,762.20 and 3,267.44

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Solution

The fourth proportional to 5,626.16, 7,762.20 and 3,267.44 is: 4,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.16 : 7,762.20 = 3,267.44 : x
  2. Step 2: Convert to fraction form
    5,626.16/7,762.20 = 3,267.44/x
  3. Step 3: Cross multiply
    5,626.16x = 7,762.20 × 3,267.44
  4. Step 4: Simplify right side
    5,626.16x = 25,362,522.77
  5. Step 5: Solve for x
    x = 25,362,522.77/5,626.16
  6. Step 6: Final answer
    x = 4,507.96

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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.