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Finding the Fourth Proportional to 3,657.48, 5,049.63 and 2,538.06

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Solution

The fourth proportional to 3,657.48, 5,049.63 and 2,538.06 is: 3,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.48 : 5,049.63 = 2,538.06 : x
  2. Step 2: Convert to fraction form
    3,657.48/5,049.63 = 2,538.06/x
  3. Step 3: Cross multiply
    3,657.48x = 5,049.63 × 2,538.06
  4. Step 4: Simplify right side
    3,657.48x = 12,816,263.92
  5. Step 5: Solve for x
    x = 12,816,263.92/3,657.48
  6. Step 6: Final answer
    x = 3,504.12

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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.