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Finding the Fourth Proportional to 5,902.82, 8,144.57 and 4,949.58

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Solution

The fourth proportional to 5,902.82, 8,144.57 and 4,949.58 is: 6,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.82 : 8,144.57 = 4,949.58 : x
  2. Step 2: Convert to fraction form
    5,902.82/8,144.57 = 4,949.58/x
  3. Step 3: Cross multiply
    5,902.82x = 8,144.57 × 4,949.58
  4. Step 4: Simplify right side
    5,902.82x = 40,312,208.77
  5. Step 5: Solve for x
    x = 40,312,208.77/5,902.82
  6. Step 6: Final answer
    x = 6,829.32

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1.5x scale

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.