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Finding the Fourth Proportional to 4,297.64, 6,447.02 and 1,374.92

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Solution

The fourth proportional to 4,297.64, 6,447.02 and 1,374.92 is: 2,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.64 : 6,447.02 = 1,374.92 : x
  2. Step 2: Convert to fraction form
    4,297.64/6,447.02 = 1,374.92/x
  3. Step 3: Cross multiply
    4,297.64x = 6,447.02 × 1,374.92
  4. Step 4: Simplify right side
    4,297.64x = 8,864,136.74
  5. Step 5: Solve for x
    x = 8,864,136.74/4,297.64
  6. Step 6: Final answer
    x = 2,062.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.