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Finding the Fourth Proportional to 4,297.89, 6,445.91 and 1,524.65

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Solution

The fourth proportional to 4,297.89, 6,445.91 and 1,524.65 is: 2,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.89 : 6,445.91 = 1,524.65 : x
  2. Step 2: Convert to fraction form
    4,297.89/6,445.91 = 1,524.65/x
  3. Step 3: Cross multiply
    4,297.89x = 6,445.91 × 1,524.65
  4. Step 4: Simplify right side
    4,297.89x = 9,827,765.17
  5. Step 5: Solve for x
    x = 9,827,765.17/4,297.89
  6. Step 6: Final answer
    x = 2,286.65

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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.