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Finding the Fourth Proportional to 4,196.37, 6,294.57 and 1,885.17

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Solution

The fourth proportional to 4,196.37, 6,294.57 and 1,885.17 is: 2,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.37 : 6,294.57 = 1,885.17 : x
  2. Step 2: Convert to fraction form
    4,196.37/6,294.57 = 1,885.17/x
  3. Step 3: Cross multiply
    4,196.37x = 6,294.57 × 1,885.17
  4. Step 4: Simplify right side
    4,196.37x = 11,866,334.53
  5. Step 5: Solve for x
    x = 11,866,334.53/4,196.37
  6. Step 6: Final answer
    x = 2,827.76

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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.