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Finding the Fourth Proportional to 5,213.68, 7,808.32 and 4,526

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Solution

The fourth proportional to 5,213.68, 7,808.32 and 4,526 is: 6,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.68 : 7,808.32 = 4,526 : x
  2. Step 2: Convert to fraction form
    5,213.68/7,808.32 = 4,526/x
  3. Step 3: Cross multiply
    5,213.68x = 7,808.32 × 4,526
  4. Step 4: Simplify right side
    5,213.68x = 35,340,456.32
  5. Step 5: Solve for x
    x = 35,340,456.32/5,213.68
  6. Step 6: Final answer
    x = 6,778.41

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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.