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Finding the Fourth Proportional to 4,194.35, 6,292.14 and 1,561.64

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Solution

The fourth proportional to 4,194.35, 6,292.14 and 1,561.64 is: 2,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.35 : 6,292.14 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    4,194.35/6,292.14 = 1,561.64/x
  3. Step 3: Cross multiply
    4,194.35x = 6,292.14 × 1,561.64
  4. Step 4: Simplify right side
    4,194.35x = 9,826,043.79
  5. Step 5: Solve for x
    x = 9,826,043.79/4,194.35
  6. Step 6: Final answer
    x = 2,342.68

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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.