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Finding the Fourth Proportional to 4,196.66, 6,293.65 and 1,384.87

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Solution

The fourth proportional to 4,196.66, 6,293.65 and 1,384.87 is: 2,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.66 : 6,293.65 = 1,384.87 : x
  2. Step 2: Convert to fraction form
    4,196.66/6,293.65 = 1,384.87/x
  3. Step 3: Cross multiply
    4,196.66x = 6,293.65 × 1,384.87
  4. Step 4: Simplify right side
    4,196.66x = 8,715,867.88
  5. Step 5: Solve for x
    x = 8,715,867.88/4,196.66
  6. Step 6: Final answer
    x = 2,076.86

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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.