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Finding the Fourth Proportional to 3,657.94, 5,484.48 and 2,015.26

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Solution

The fourth proportional to 3,657.94, 5,484.48 and 2,015.26 is: 3,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.94 : 5,484.48 = 2,015.26 : x
  2. Step 2: Convert to fraction form
    3,657.94/5,484.48 = 2,015.26/x
  3. Step 3: Cross multiply
    3,657.94x = 5,484.48 × 2,015.26
  4. Step 4: Simplify right side
    3,657.94x = 11,052,653.16
  5. Step 5: Solve for x
    x = 11,052,653.16/3,657.94
  6. Step 6: Final answer
    x = 3,021.55

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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.