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Finding the Fourth Proportional to 4,125.29, 6,188.15 and 1,203.82

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Solution

The fourth proportional to 4,125.29, 6,188.15 and 1,203.82 is: 1,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.29 : 6,188.15 = 1,203.82 : x
  2. Step 2: Convert to fraction form
    4,125.29/6,188.15 = 1,203.82/x
  3. Step 3: Cross multiply
    4,125.29x = 6,188.15 × 1,203.82
  4. Step 4: Simplify right side
    4,125.29x = 7,449,381.77
  5. Step 5: Solve for x
    x = 7,449,381.77/4,125.29
  6. Step 6: Final answer
    x = 1,805.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.