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Finding the Fourth Proportional to 6,409.26, 8,843.58 and 4,052.16

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Solution

The fourth proportional to 6,409.26, 8,843.58 and 4,052.16 is: 5,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.26 : 8,843.58 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    6,409.26/8,843.58 = 4,052.16/x
  3. Step 3: Cross multiply
    6,409.26x = 8,843.58 × 4,052.16
  4. Step 4: Simplify right side
    6,409.26x = 35,835,601.13
  5. Step 5: Solve for x
    x = 35,835,601.13/6,409.26
  6. Step 6: Final answer
    x = 5,591.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.