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Finding the Fourth Proportional to 5,213.46, 7,193.07 and 3,117.18

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Solution

The fourth proportional to 5,213.46, 7,193.07 and 3,117.18 is: 4,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.46 : 7,193.07 = 3,117.18 : x
  2. Step 2: Convert to fraction form
    5,213.46/7,193.07 = 3,117.18/x
  3. Step 3: Cross multiply
    5,213.46x = 7,193.07 × 3,117.18
  4. Step 4: Simplify right side
    5,213.46x = 22,422,093.94
  5. Step 5: Solve for x
    x = 22,422,093.94/5,213.46
  6. Step 6: Final answer
    x = 4,300.81

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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.