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Finding the Fourth Proportional to 5,496.75, 8,245.13 and 1,392.75

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Solution

The fourth proportional to 5,496.75, 8,245.13 and 1,392.75 is: 2,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.75 : 8,245.13 = 1,392.75 : x
  2. Step 2: Convert to fraction form
    5,496.75/8,245.13 = 1,392.75/x
  3. Step 3: Cross multiply
    5,496.75x = 8,245.13 × 1,392.75
  4. Step 4: Simplify right side
    5,496.75x = 11,483,397.84
  5. Step 5: Solve for x
    x = 11,483,397.84/5,496.75
  6. Step 6: Final answer
    x = 2,089.13

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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.