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Finding the Fourth Proportional to 5,313, 7,970.45 and 2,191.27

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Solution

The fourth proportional to 5,313, 7,970.45 and 2,191.27 is: 3,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,970.45 = 2,191.27 : x
  2. Step 2: Convert to fraction form
    5,313/7,970.45 = 2,191.27/x
  3. Step 3: Cross multiply
    5,313x = 7,970.45 × 2,191.27
  4. Step 4: Simplify right side
    5,313x = 17,465,407.97
  5. Step 5: Solve for x
    x = 17,465,407.97/5,313
  6. Step 6: Final answer
    x = 3,287.30

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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.