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Finding the Fourth Proportional to 5,102.13, 7,652.22 and 1,403.43

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Solution

The fourth proportional to 5,102.13, 7,652.22 and 1,403.43 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.13 : 7,652.22 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    5,102.13/7,652.22 = 1,403.43/x
  3. Step 3: Cross multiply
    5,102.13x = 7,652.22 × 1,403.43
  4. Step 4: Simplify right side
    5,102.13x = 10,739,355.11
  5. Step 5: Solve for x
    x = 10,739,355.11/5,102.13
  6. Step 6: Final answer
    x = 2,104.88

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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.