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Finding the Fourth Proportional to 5,733.08, 7,906.47 and 3,714.44

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Solution

The fourth proportional to 5,733.08, 7,906.47 and 3,714.44 is: 5,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.08 : 7,906.47 = 3,714.44 : x
  2. Step 2: Convert to fraction form
    5,733.08/7,906.47 = 3,714.44/x
  3. Step 3: Cross multiply
    5,733.08x = 7,906.47 × 3,714.44
  4. Step 4: Simplify right side
    5,733.08x = 29,368,109.89
  5. Step 5: Solve for x
    x = 29,368,109.89/5,733.08
  6. Step 6: Final answer
    x = 5,122.57

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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.