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Finding the Fourth Proportional to 4,297.65, 6,449.36 and 1,524.30

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Solution

The fourth proportional to 4,297.65, 6,449.36 and 1,524.30 is: 2,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.65 : 6,449.36 = 1,524.30 : x
  2. Step 2: Convert to fraction form
    4,297.65/6,449.36 = 1,524.30/x
  3. Step 3: Cross multiply
    4,297.65x = 6,449.36 × 1,524.30
  4. Step 4: Simplify right side
    4,297.65x = 9,830,751.83
  5. Step 5: Solve for x
    x = 9,830,751.83/4,297.65
  6. Step 6: Final answer
    x = 2,287.47

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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.