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Finding the Fourth Proportional to 4,761.96, 6,569.32 and 3,083.92

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Solution

The fourth proportional to 4,761.96, 6,569.32 and 3,083.92 is: 4,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 6,569.32 = 3,083.92 : x
  2. Step 2: Convert to fraction form
    4,761.96/6,569.32 = 3,083.92/x
  3. Step 3: Cross multiply
    4,761.96x = 6,569.32 × 3,083.92
  4. Step 4: Simplify right side
    4,761.96x = 20,259,257.46
  5. Step 5: Solve for x
    x = 20,259,257.46/4,761.96
  6. Step 6: Final answer
    x = 4,254.39

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Why These Related Problems?

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