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Finding the Fourth Proportional to 5,872.90, 8,104.86 and 3,220.50

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Solution

The fourth proportional to 5,872.90, 8,104.86 and 3,220.50 is: 4,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.90 : 8,104.86 = 3,220.50 : x
  2. Step 2: Convert to fraction form
    5,872.90/8,104.86 = 3,220.50/x
  3. Step 3: Cross multiply
    5,872.90x = 8,104.86 × 3,220.50
  4. Step 4: Simplify right side
    5,872.90x = 26,101,701.63
  5. Step 5: Solve for x
    x = 26,101,701.63/5,872.90
  6. Step 6: Final answer
    x = 4,444.43

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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.