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Finding the Fourth Proportional to 4,194.86, 5,799.40 and 3,145.10

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Solution

The fourth proportional to 4,194.86, 5,799.40 and 3,145.10 is: 4,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.86 : 5,799.40 = 3,145.10 : x
  2. Step 2: Convert to fraction form
    4,194.86/5,799.40 = 3,145.10/x
  3. Step 3: Cross multiply
    4,194.86x = 5,799.40 × 3,145.10
  4. Step 4: Simplify right side
    4,194.86x = 18,239,656.08
  5. Step 5: Solve for x
    x = 18,239,656.08/4,194.86
  6. Step 6: Final answer
    x = 4,348.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.