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Finding the Fourth Proportional to 4,297.12, 6,444.48 and 1,523.44

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Solution

The fourth proportional to 4,297.12, 6,444.48 and 1,523.44 is: 2,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.12 : 6,444.48 = 1,523.44 : x
  2. Step 2: Convert to fraction form
    4,297.12/6,444.48 = 1,523.44/x
  3. Step 3: Cross multiply
    4,297.12x = 6,444.48 × 1,523.44
  4. Step 4: Simplify right side
    4,297.12x = 9,817,778.61
  5. Step 5: Solve for x
    x = 9,817,778.61/4,297.12
  6. Step 6: Final answer
    x = 2,284.73

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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.