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Finding the Fourth Proportional to 5,307.24, 7,987.51 and 3,997.78

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Solution

The fourth proportional to 5,307.24, 7,987.51 and 3,997.78 is: 6,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.24 : 7,987.51 = 3,997.78 : x
  2. Step 2: Convert to fraction form
    5,307.24/7,987.51 = 3,997.78/x
  3. Step 3: Cross multiply
    5,307.24x = 7,987.51 × 3,997.78
  4. Step 4: Simplify right side
    5,307.24x = 31,932,292.76
  5. Step 5: Solve for x
    x = 31,932,292.76/5,307.24
  6. Step 6: Final answer
    x = 6,016.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.