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Finding the Fourth Proportional to 4,297.31, 6,445.98 and 1,524.01

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Solution

The fourth proportional to 4,297.31, 6,445.98 and 1,524.01 is: 2,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.31 : 6,445.98 = 1,524.01 : x
  2. Step 2: Convert to fraction form
    4,297.31/6,445.98 = 1,524.01/x
  3. Step 3: Cross multiply
    4,297.31x = 6,445.98 × 1,524.01
  4. Step 4: Simplify right side
    4,297.31x = 9,823,737.98
  5. Step 5: Solve for x
    x = 9,823,737.98/4,297.31
  6. Step 6: Final answer
    x = 2,286.02

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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.