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Finding the Fourth Proportional to 4,357, 6,536.58 and 1,279

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Solution

The fourth proportional to 4,357, 6,536.58 and 1,279 is: 1,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357 : 6,536.58 = 1,279 : x
  2. Step 2: Convert to fraction form
    4,357/6,536.58 = 1,279/x
  3. Step 3: Cross multiply
    4,357x = 6,536.58 × 1,279
  4. Step 4: Simplify right side
    4,357x = 8,360,285.82
  5. Step 5: Solve for x
    x = 8,360,285.82/4,357
  6. Step 6: Final answer
    x = 1,918.82

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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.