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Finding the Fourth Proportional to 4,283.64, 6,422.49 and 2,094.12

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Solution

The fourth proportional to 4,283.64, 6,422.49 and 2,094.12 is: 3,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.64 : 6,422.49 = 2,094.12 : x
  2. Step 2: Convert to fraction form
    4,283.64/6,422.49 = 2,094.12/x
  3. Step 3: Cross multiply
    4,283.64x = 6,422.49 × 2,094.12
  4. Step 4: Simplify right side
    4,283.64x = 13,449,464.76
  5. Step 5: Solve for x
    x = 13,449,464.76/4,283.64
  6. Step 6: Final answer
    x = 3,139.73

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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.