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Finding the Fourth Proportional to 3,483.53, 5,223.23 and 2,314.16

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Solution

The fourth proportional to 3,483.53, 5,223.23 and 2,314.16 is: 3,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.53 : 5,223.23 = 2,314.16 : x
  2. Step 2: Convert to fraction form
    3,483.53/5,223.23 = 2,314.16/x
  3. Step 3: Cross multiply
    3,483.53x = 5,223.23 × 2,314.16
  4. Step 4: Simplify right side
    3,483.53x = 12,087,352.25
  5. Step 5: Solve for x
    x = 12,087,352.25/3,483.53
  6. Step 6: Final answer
    x = 3,469.86

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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.