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Finding the Fourth Proportional to 3,467.65, 5,200.94 and 1,275.86

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Solution

The fourth proportional to 3,467.65, 5,200.94 and 1,275.86 is: 1,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.65 : 5,200.94 = 1,275.86 : x
  2. Step 2: Convert to fraction form
    3,467.65/5,200.94 = 1,275.86/x
  3. Step 3: Cross multiply
    3,467.65x = 5,200.94 × 1,275.86
  4. Step 4: Simplify right side
    3,467.65x = 6,635,671.31
  5. Step 5: Solve for x
    x = 6,635,671.31/3,467.65
  6. Step 6: Final answer
    x = 1,913.59

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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.