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Finding the Fourth Proportional to 5,102.22, 7,655.67 and 3,026.34

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Solution

The fourth proportional to 5,102.22, 7,655.67 and 3,026.34 is: 4,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.22 : 7,655.67 = 3,026.34 : x
  2. Step 2: Convert to fraction form
    5,102.22/7,655.67 = 3,026.34/x
  3. Step 3: Cross multiply
    5,102.22x = 7,655.67 × 3,026.34
  4. Step 4: Simplify right side
    5,102.22x = 23,168,660.35
  5. Step 5: Solve for x
    x = 23,168,660.35/5,102.22
  6. Step 6: Final answer
    x = 4,540.90

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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.