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Finding the Fourth Proportional to 5,313, 7,972.92 and 2,235

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Solution

The fourth proportional to 5,313, 7,972.92 and 2,235 is: 3,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,972.92 = 2,235 : x
  2. Step 2: Convert to fraction form
    5,313/7,972.92 = 2,235/x
  3. Step 3: Cross multiply
    5,313x = 7,972.92 × 2,235
  4. Step 4: Simplify right side
    5,313x = 17,819,476.20
  5. Step 5: Solve for x
    x = 17,819,476.20/5,313
  6. Step 6: Final answer
    x = 3,353.94

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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.