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Finding the Fourth Proportional to 4,104.18, 5,655.24 and 3,657.33

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Solution

The fourth proportional to 4,104.18, 5,655.24 and 3,657.33 is: 5,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.18 : 5,655.24 = 3,657.33 : x
  2. Step 2: Convert to fraction form
    4,104.18/5,655.24 = 3,657.33/x
  3. Step 3: Cross multiply
    4,104.18x = 5,655.24 × 3,657.33
  4. Step 4: Simplify right side
    4,104.18x = 20,683,078.91
  5. Step 5: Solve for x
    x = 20,683,078.91/4,104.18
  6. Step 6: Final answer
    x = 5,039.52

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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.