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Finding the Fourth Proportional to 4,502.74, 6,756.53 and 2,194.24

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Solution

The fourth proportional to 4,502.74, 6,756.53 and 2,194.24 is: 3,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.74 : 6,756.53 = 2,194.24 : x
  2. Step 2: Convert to fraction form
    4,502.74/6,756.53 = 2,194.24/x
  3. Step 3: Cross multiply
    4,502.74x = 6,756.53 × 2,194.24
  4. Step 4: Simplify right side
    4,502.74x = 14,825,448.39
  5. Step 5: Solve for x
    x = 14,825,448.39/4,502.74
  6. Step 6: Final answer
    x = 3,292.54

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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.