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Finding the Fourth Proportional to 3,734.90, 5,154.39 and 2,056.68

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Solution

The fourth proportional to 3,734.90, 5,154.39 and 2,056.68 is: 2,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,154.39 = 2,056.68 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,154.39 = 2,056.68/x
  3. Step 3: Cross multiply
    3,734.90x = 5,154.39 × 2,056.68
  4. Step 4: Simplify right side
    3,734.90x = 10,600,930.83
  5. Step 5: Solve for x
    x = 10,600,930.83/3,734.90
  6. Step 6: Final answer
    x = 2,838.34

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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.