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Finding the Fourth Proportional to 5,872.34, 8,103.80 and 3,219.74

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Solution

The fourth proportional to 5,872.34, 8,103.80 and 3,219.74 is: 4,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.34 : 8,103.80 = 3,219.74 : x
  2. Step 2: Convert to fraction form
    5,872.34/8,103.80 = 3,219.74/x
  3. Step 3: Cross multiply
    5,872.34x = 8,103.80 × 3,219.74
  4. Step 4: Simplify right side
    5,872.34x = 26,092,129.01
  5. Step 5: Solve for x
    x = 26,092,129.01/5,872.34
  6. Step 6: Final answer
    x = 4,443.23

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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.