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Finding the Fourth Proportional to 5,714.73, 7,887.87 and 3,358.44

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Solution

The fourth proportional to 5,714.73, 7,887.87 and 3,358.44 is: 4,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.73 : 7,887.87 = 3,358.44 : x
  2. Step 2: Convert to fraction form
    5,714.73/7,887.87 = 3,358.44/x
  3. Step 3: Cross multiply
    5,714.73x = 7,887.87 × 3,358.44
  4. Step 4: Simplify right side
    5,714.73x = 26,490,938.12
  5. Step 5: Solve for x
    x = 26,490,938.12/5,714.73
  6. Step 6: Final answer
    x = 4,635.55

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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.