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Finding the Fourth Proportional to 4,274, 5,893.92 and 2,595.68

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Solution

The fourth proportional to 4,274, 5,893.92 and 2,595.68 is: 3,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274 : 5,893.92 = 2,595.68 : x
  2. Step 2: Convert to fraction form
    4,274/5,893.92 = 2,595.68/x
  3. Step 3: Cross multiply
    4,274x = 5,893.92 × 2,595.68
  4. Step 4: Simplify right side
    4,274x = 15,298,730.27
  5. Step 5: Solve for x
    x = 15,298,730.27/4,274
  6. Step 6: Final answer
    x = 3,579.49

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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.