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Finding the Fourth Proportional to 3,215.57, 4,438.24 and 2,683.86

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Solution

The fourth proportional to 3,215.57, 4,438.24 and 2,683.86 is: 3,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.57 : 4,438.24 = 2,683.86 : x
  2. Step 2: Convert to fraction form
    3,215.57/4,438.24 = 2,683.86/x
  3. Step 3: Cross multiply
    3,215.57x = 4,438.24 × 2,683.86
  4. Step 4: Simplify right side
    3,215.57x = 11,911,619.03
  5. Step 5: Solve for x
    x = 11,911,619.03/3,215.57
  6. Step 6: Final answer
    x = 3,704.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.