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Finding the Fourth Proportional to 5,714.37, 8,564.49 and 3,372

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Solution

The fourth proportional to 5,714.37, 8,564.49 and 3,372 is: 5,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.37 : 8,564.49 = 3,372 : x
  2. Step 2: Convert to fraction form
    5,714.37/8,564.49 = 3,372/x
  3. Step 3: Cross multiply
    5,714.37x = 8,564.49 × 3,372
  4. Step 4: Simplify right side
    5,714.37x = 28,879,460.28
  5. Step 5: Solve for x
    x = 28,879,460.28/5,714.37
  6. Step 6: Final answer
    x = 5,053.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.