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Finding the Fourth Proportional to 3,397.51, 5,096.20 and 3,313.75

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Solution

The fourth proportional to 3,397.51, 5,096.20 and 3,313.75 is: 4,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.51 : 5,096.20 = 3,313.75 : x
  2. Step 2: Convert to fraction form
    3,397.51/5,096.20 = 3,313.75/x
  3. Step 3: Cross multiply
    3,397.51x = 5,096.20 × 3,313.75
  4. Step 4: Simplify right side
    3,397.51x = 16,887,532.75
  5. Step 5: Solve for x
    x = 16,887,532.75/3,397.51
  6. Step 6: Final answer
    x = 4,970.56

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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.