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Finding the Fourth Proportional to 4,491.12, 6,735.78 and 1,529.22

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Solution

The fourth proportional to 4,491.12, 6,735.78 and 1,529.22 is: 2,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.12 : 6,735.78 = 1,529.22 : x
  2. Step 2: Convert to fraction form
    4,491.12/6,735.78 = 1,529.22/x
  3. Step 3: Cross multiply
    4,491.12x = 6,735.78 × 1,529.22
  4. Step 4: Simplify right side
    4,491.12x = 10,300,489.49
  5. Step 5: Solve for x
    x = 10,300,489.49/4,491.12
  6. Step 6: Final answer
    x = 2,293.52

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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.