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Finding the Fourth Proportional to 4,761.52, 6,569.37 and 3,084.21

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Solution

The fourth proportional to 4,761.52, 6,569.37 and 3,084.21 is: 4,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.52 : 6,569.37 = 3,084.21 : x
  2. Step 2: Convert to fraction form
    4,761.52/6,569.37 = 3,084.21/x
  3. Step 3: Cross multiply
    4,761.52x = 6,569.37 × 3,084.21
  4. Step 4: Simplify right side
    4,761.52x = 20,261,316.65
  5. Step 5: Solve for x
    x = 20,261,316.65/4,761.52
  6. Step 6: Final answer
    x = 4,255.22

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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.