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Finding the Fourth Proportional to 3,253.21, 4,883 and 1,404.97

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Solution

The fourth proportional to 3,253.21, 4,883 and 1,404.97 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.21 : 4,883 = 1,404.97 : x
  2. Step 2: Convert to fraction form
    3,253.21/4,883 = 1,404.97/x
  3. Step 3: Cross multiply
    3,253.21x = 4,883 × 1,404.97
  4. Step 4: Simplify right side
    3,253.21x = 6,860,444.10
  5. Step 5: Solve for x
    x = 6,860,444.10/3,253.21
  6. Step 6: Final answer
    x = 2,108.83

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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.