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Finding the Fourth Proportional to 4,196.79, 6,292.74 and 1,422.72

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Solution

The fourth proportional to 4,196.79, 6,292.74 and 1,422.72 is: 2,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.79 : 6,292.74 = 1,422.72 : x
  2. Step 2: Convert to fraction form
    4,196.79/6,292.74 = 1,422.72/x
  3. Step 3: Cross multiply
    4,196.79x = 6,292.74 × 1,422.72
  4. Step 4: Simplify right side
    4,196.79x = 8,952,807.05
  5. Step 5: Solve for x
    x = 8,952,807.05/4,196.79
  6. Step 6: Final answer
    x = 2,133.25

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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.