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Finding the Fourth Proportional to 4,690.86, 7,037.99 and 2,194.25

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Solution

The fourth proportional to 4,690.86, 7,037.99 and 2,194.25 is: 3,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.86 : 7,037.99 = 2,194.25 : x
  2. Step 2: Convert to fraction form
    4,690.86/7,037.99 = 2,194.25/x
  3. Step 3: Cross multiply
    4,690.86x = 7,037.99 × 2,194.25
  4. Step 4: Simplify right side
    4,690.86x = 15,443,063.40
  5. Step 5: Solve for x
    x = 15,443,063.40/4,690.86
  6. Step 6: Final answer
    x = 3,292.16

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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.