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Finding the Fourth Proportional to 5,159.50, 7,739.25 and 2,851

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Solution

The fourth proportional to 5,159.50, 7,739.25 and 2,851 is: 4,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.50 : 7,739.25 = 2,851 : x
  2. Step 2: Convert to fraction form
    5,159.50/7,739.25 = 2,851/x
  3. Step 3: Cross multiply
    5,159.50x = 7,739.25 × 2,851
  4. Step 4: Simplify right side
    5,159.50x = 22,064,601.75
  5. Step 5: Solve for x
    x = 22,064,601.75/5,159.50
  6. Step 6: Final answer
    x = 4,276.50

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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.