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Finding the Fourth Proportional to 5,970.64, 8,237.28 and 3,874

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Solution

The fourth proportional to 5,970.64, 8,237.28 and 3,874 is: 5,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.64 : 8,237.28 = 3,874 : x
  2. Step 2: Convert to fraction form
    5,970.64/8,237.28 = 3,874/x
  3. Step 3: Cross multiply
    5,970.64x = 8,237.28 × 3,874
  4. Step 4: Simplify right side
    5,970.64x = 31,911,222.72
  5. Step 5: Solve for x
    x = 31,911,222.72/5,970.64
  6. Step 6: Final answer
    x = 5,344.69

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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.