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Finding the Fourth Proportional to 5,313.34, 7,967.07 and 2,147.93

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Solution

The fourth proportional to 5,313.34, 7,967.07 and 2,147.93 is: 3,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.34 : 7,967.07 = 2,147.93 : x
  2. Step 2: Convert to fraction form
    5,313.34/7,967.07 = 2,147.93/x
  3. Step 3: Cross multiply
    5,313.34x = 7,967.07 × 2,147.93
  4. Step 4: Simplify right side
    5,313.34x = 17,112,708.67
  5. Step 5: Solve for x
    x = 17,112,708.67/5,313.34
  6. Step 6: Final answer
    x = 3,220.71

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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.