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Finding the Fourth Proportional to 5,257.04, 7,256.16 and 3,266.46

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Solution

The fourth proportional to 5,257.04, 7,256.16 and 3,266.46 is: 4,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.04 : 7,256.16 = 3,266.46 : x
  2. Step 2: Convert to fraction form
    5,257.04/7,256.16 = 3,266.46/x
  3. Step 3: Cross multiply
    5,257.04x = 7,256.16 × 3,266.46
  4. Step 4: Simplify right side
    5,257.04x = 23,701,956.39
  5. Step 5: Solve for x
    x = 23,701,956.39/5,257.04
  6. Step 6: Final answer
    x = 4,508.61

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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.