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Finding the Fourth Proportional to 4,916.97, 7,367.29 and 2,838.71

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Solution

The fourth proportional to 4,916.97, 7,367.29 and 2,838.71 is: 4,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.97 : 7,367.29 = 2,838.71 : x
  2. Step 2: Convert to fraction form
    4,916.97/7,367.29 = 2,838.71/x
  3. Step 3: Cross multiply
    4,916.97x = 7,367.29 × 2,838.71
  4. Step 4: Simplify right side
    4,916.97x = 20,913,611.12
  5. Step 5: Solve for x
    x = 20,913,611.12/4,916.97
  6. Step 6: Final answer
    x = 4,253.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.