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Finding the Fourth Proportional to 5,656.62, 7,806.32 and 3,138.53

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Solution

The fourth proportional to 5,656.62, 7,806.32 and 3,138.53 is: 4,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.62 : 7,806.32 = 3,138.53 : x
  2. Step 2: Convert to fraction form
    5,656.62/7,806.32 = 3,138.53/x
  3. Step 3: Cross multiply
    5,656.62x = 7,806.32 × 3,138.53
  4. Step 4: Simplify right side
    5,656.62x = 24,500,396.87
  5. Step 5: Solve for x
    x = 24,500,396.87/5,656.62
  6. Step 6: Final answer
    x = 4,331.28

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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.