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Finding the Fourth Proportional to 3,657.96, 5,041.98 and 2,908.44

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Solution

The fourth proportional to 3,657.96, 5,041.98 and 2,908.44 is: 4,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.96 : 5,041.98 = 2,908.44 : x
  2. Step 2: Convert to fraction form
    3,657.96/5,041.98 = 2,908.44/x
  3. Step 3: Cross multiply
    3,657.96x = 5,041.98 × 2,908.44
  4. Step 4: Simplify right side
    3,657.96x = 14,664,296.31
  5. Step 5: Solve for x
    x = 14,664,296.31/3,657.96
  6. Step 6: Final answer
    x = 4,008.87

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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.