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Finding the Fourth Proportional to 4,125.68, 6,188.52 and 1,934

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Solution

The fourth proportional to 4,125.68, 6,188.52 and 1,934 is: 2,901

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.68 : 6,188.52 = 1,934 : x
  2. Step 2: Convert to fraction form
    4,125.68/6,188.52 = 1,934/x
  3. Step 3: Cross multiply
    4,125.68x = 6,188.52 × 1,934
  4. Step 4: Simplify right side
    4,125.68x = 11,968,597.68
  5. Step 5: Solve for x
    x = 11,968,597.68/4,125.68
  6. Step 6: Final answer
    x = 2,901

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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.