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Finding the Fourth Proportional to 3,798.56, 5,215.24 and 3,568.16

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Solution

The fourth proportional to 3,798.56, 5,215.24 and 3,568.16 is: 4,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.56 : 5,215.24 = 3,568.16 : x
  2. Step 2: Convert to fraction form
    3,798.56/5,215.24 = 3,568.16/x
  3. Step 3: Cross multiply
    3,798.56x = 5,215.24 × 3,568.16
  4. Step 4: Simplify right side
    3,798.56x = 18,608,810.76
  5. Step 5: Solve for x
    x = 18,608,810.76/3,798.56
  6. Step 6: Final answer
    x = 4,898.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.