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Finding the Fourth Proportional to 2,607.24, 3,906.63 and 2,538.93

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Solution

The fourth proportional to 2,607.24, 3,906.63 and 2,538.93 is: 3,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.24 : 3,906.63 = 2,538.93 : x
  2. Step 2: Convert to fraction form
    2,607.24/3,906.63 = 2,538.93/x
  3. Step 3: Cross multiply
    2,607.24x = 3,906.63 × 2,538.93
  4. Step 4: Simplify right side
    2,607.24x = 9,918,660.11
  5. Step 5: Solve for x
    x = 9,918,660.11/2,607.24
  6. Step 6: Final answer
    x = 3,804.28

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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.