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Finding the Fourth Proportional to 5,306.64, 7,961.21 and 5,218.49

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Solution

The fourth proportional to 5,306.64, 7,961.21 and 5,218.49 is: 7,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.64 : 7,961.21 = 5,218.49 : x
  2. Step 2: Convert to fraction form
    5,306.64/7,961.21 = 5,218.49/x
  3. Step 3: Cross multiply
    5,306.64x = 7,961.21 × 5,218.49
  4. Step 4: Simplify right side
    5,306.64x = 41,545,494.77
  5. Step 5: Solve for x
    x = 41,545,494.77/5,306.64
  6. Step 6: Final answer
    x = 7,828.96

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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.