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Finding the Fourth Proportional to 3,483.56, 5,227.14 and 2,314.37

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Solution

The fourth proportional to 3,483.56, 5,227.14 and 2,314.37 is: 3,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.56 : 5,227.14 = 2,314.37 : x
  2. Step 2: Convert to fraction form
    3,483.56/5,227.14 = 2,314.37/x
  3. Step 3: Cross multiply
    3,483.56x = 5,227.14 × 2,314.37
  4. Step 4: Simplify right side
    3,483.56x = 12,097,549.07
  5. Step 5: Solve for x
    x = 12,097,549.07/3,483.56
  6. Step 6: Final answer
    x = 3,472.75

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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.