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Finding the Fourth Proportional to 5,752.08, 7,937.37 and 3,234

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Solution

The fourth proportional to 5,752.08, 7,937.37 and 3,234 is: 4,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.08 : 7,937.37 = 3,234 : x
  2. Step 2: Convert to fraction form
    5,752.08/7,937.37 = 3,234/x
  3. Step 3: Cross multiply
    5,752.08x = 7,937.37 × 3,234
  4. Step 4: Simplify right side
    5,752.08x = 25,669,454.58
  5. Step 5: Solve for x
    x = 25,669,454.58/5,752.08
  6. Step 6: Final answer
    x = 4,462.64

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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.