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Finding the Fourth Proportional to 5,469.84, 8,210.91 and 3,253.48

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Solution

The fourth proportional to 5,469.84, 8,210.91 and 3,253.48 is: 4,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.84 : 8,210.91 = 3,253.48 : x
  2. Step 2: Convert to fraction form
    5,469.84/8,210.91 = 3,253.48/x
  3. Step 3: Cross multiply
    5,469.84x = 8,210.91 × 3,253.48
  4. Step 4: Simplify right side
    5,469.84x = 26,714,031.47
  5. Step 5: Solve for x
    x = 26,714,031.47/5,469.84
  6. Step 6: Final answer
    x = 4,883.88

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