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Finding the Fourth Proportional to 4,132.16, 6,198.24 and 1,054.16

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Solution

The fourth proportional to 4,132.16, 6,198.24 and 1,054.16 is: 1,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.16 : 6,198.24 = 1,054.16 : x
  2. Step 2: Convert to fraction form
    4,132.16/6,198.24 = 1,054.16/x
  3. Step 3: Cross multiply
    4,132.16x = 6,198.24 × 1,054.16
  4. Step 4: Simplify right side
    4,132.16x = 6,533,900.42
  5. Step 5: Solve for x
    x = 6,533,900.42/4,132.16
  6. Step 6: Final answer
    x = 1,581.23

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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.