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Finding the Fourth Proportional to 5,307.74, 7,961.16 and 1,797.68

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Solution

The fourth proportional to 5,307.74, 7,961.16 and 1,797.68 is: 2,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.74 : 7,961.16 = 1,797.68 : x
  2. Step 2: Convert to fraction form
    5,307.74/7,961.16 = 1,797.68/x
  3. Step 3: Cross multiply
    5,307.74x = 7,961.16 × 1,797.68
  4. Step 4: Simplify right side
    5,307.74x = 14,311,594.92
  5. Step 5: Solve for x
    x = 14,311,594.92/5,307.74
  6. Step 6: Final answer
    x = 2,696.36

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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.