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Finding the Fourth Proportional to 5,872.84, 8,104.71 and 3,220.54

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Solution

The fourth proportional to 5,872.84, 8,104.71 and 3,220.54 is: 4,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.84 : 8,104.71 = 3,220.54 : x
  2. Step 2: Convert to fraction form
    5,872.84/8,104.71 = 3,220.54/x
  3. Step 3: Cross multiply
    5,872.84x = 8,104.71 × 3,220.54
  4. Step 4: Simplify right side
    5,872.84x = 26,101,542.74
  5. Step 5: Solve for x
    x = 26,101,542.74/5,872.84
  6. Step 6: Final answer
    x = 4,444.45

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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.