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Finding the Fourth Proportional to 3,785.88, 5,222.70 and 3,261

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Solution

The fourth proportional to 3,785.88, 5,222.70 and 3,261 is: 4,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.88 : 5,222.70 = 3,261 : x
  2. Step 2: Convert to fraction form
    3,785.88/5,222.70 = 3,261/x
  3. Step 3: Cross multiply
    3,785.88x = 5,222.70 × 3,261
  4. Step 4: Simplify right side
    3,785.88x = 17,031,224.70
  5. Step 5: Solve for x
    x = 17,031,224.70/3,785.88
  6. Step 6: Final answer
    x = 4,498.62

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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.