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Finding the Fourth Proportional to 5,239.76, 7,857.50 and 1,729.62

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Solution

The fourth proportional to 5,239.76, 7,857.50 and 1,729.62 is: 2,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.76 : 7,857.50 = 1,729.62 : x
  2. Step 2: Convert to fraction form
    5,239.76/7,857.50 = 1,729.62/x
  3. Step 3: Cross multiply
    5,239.76x = 7,857.50 × 1,729.62
  4. Step 4: Simplify right side
    5,239.76x = 13,590,480.50
  5. Step 5: Solve for x
    x = 13,590,480.50/5,239.76
  6. Step 6: Final answer
    x = 2,593.72

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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.