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Finding the Fourth Proportional to 4,765.22, 7,146.31 and 4,454.26

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Solution

The fourth proportional to 4,765.22, 7,146.31 and 4,454.26 is: 6,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.22 : 7,146.31 = 4,454.26 : x
  2. Step 2: Convert to fraction form
    4,765.22/7,146.31 = 4,454.26/x
  3. Step 3: Cross multiply
    4,765.22x = 7,146.31 × 4,454.26
  4. Step 4: Simplify right side
    4,765.22x = 31,831,522.78
  5. Step 5: Solve for x
    x = 31,831,522.78/4,765.22
  6. Step 6: Final answer
    x = 6,679.97

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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.