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Finding the Fourth Proportional to 4,194.41, 6,288.02 and 2,344.01

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Solution

The fourth proportional to 4,194.41, 6,288.02 and 2,344.01 is: 3,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.41 : 6,288.02 = 2,344.01 : x
  2. Step 2: Convert to fraction form
    4,194.41/6,288.02 = 2,344.01/x
  3. Step 3: Cross multiply
    4,194.41x = 6,288.02 × 2,344.01
  4. Step 4: Simplify right side
    4,194.41x = 14,739,170.04
  5. Step 5: Solve for x
    x = 14,739,170.04/4,194.41
  6. Step 6: Final answer
    x = 3,514.00

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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.