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Finding the Fourth Proportional to 4,224.26, 6,335.84 and 1,104.48

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Solution

The fourth proportional to 4,224.26, 6,335.84 and 1,104.48 is: 1,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.26 : 6,335.84 = 1,104.48 : x
  2. Step 2: Convert to fraction form
    4,224.26/6,335.84 = 1,104.48/x
  3. Step 3: Cross multiply
    4,224.26x = 6,335.84 × 1,104.48
  4. Step 4: Simplify right side
    4,224.26x = 6,997,811.32
  5. Step 5: Solve for x
    x = 6,997,811.32/4,224.26
  6. Step 6: Final answer
    x = 1,656.58

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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.