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Finding the Fourth Proportional to 5,156.52, 7,739.86 and 2,693.32

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Solution

The fourth proportional to 5,156.52, 7,739.86 and 2,693.32 is: 4,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,739.86 = 2,693.32 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,739.86 = 2,693.32/x
  3. Step 3: Cross multiply
    5,156.52x = 7,739.86 × 2,693.32
  4. Step 4: Simplify right side
    5,156.52x = 20,845,919.74
  5. Step 5: Solve for x
    x = 20,845,919.74/5,156.52
  6. Step 6: Final answer
    x = 4,042.63

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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.