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Finding the Fourth Proportional to 4,257.64, 5,874.04 and 2,764.80

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Solution

The fourth proportional to 4,257.64, 5,874.04 and 2,764.80 is: 3,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.64 : 5,874.04 = 2,764.80 : x
  2. Step 2: Convert to fraction form
    4,257.64/5,874.04 = 2,764.80/x
  3. Step 3: Cross multiply
    4,257.64x = 5,874.04 × 2,764.80
  4. Step 4: Simplify right side
    4,257.64x = 16,240,545.79
  5. Step 5: Solve for x
    x = 16,240,545.79/4,257.64
  6. Step 6: Final answer
    x = 3,814.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.