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Finding the Fourth Proportional to 4,876.96, 6,730.32 and 2,781.28

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Solution

The fourth proportional to 4,876.96, 6,730.32 and 2,781.28 is: 3,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.96 : 6,730.32 = 2,781.28 : x
  2. Step 2: Convert to fraction form
    4,876.96/6,730.32 = 2,781.28/x
  3. Step 3: Cross multiply
    4,876.96x = 6,730.32 × 2,781.28
  4. Step 4: Simplify right side
    4,876.96x = 18,718,904.41
  5. Step 5: Solve for x
    x = 18,718,904.41/4,876.96
  6. Step 6: Final answer
    x = 3,838.23

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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.