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Finding the Fourth Proportional to 5,103.63, 7,655.37 and 2,471.37

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Solution

The fourth proportional to 5,103.63, 7,655.37 and 2,471.37 is: 3,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.63 : 7,655.37 = 2,471.37 : x
  2. Step 2: Convert to fraction form
    5,103.63/7,655.37 = 2,471.37/x
  3. Step 3: Cross multiply
    5,103.63x = 7,655.37 × 2,471.37
  4. Step 4: Simplify right side
    5,103.63x = 18,919,242.04
  5. Step 5: Solve for x
    x = 18,919,242.04/5,103.63
  6. Step 6: Final answer
    x = 3,707.02

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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.