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Finding the Fourth Proportional to 4,509.83, 6,774.50 and 3,817.89

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Solution

The fourth proportional to 4,509.83, 6,774.50 and 3,817.89 is: 5,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.83 : 6,774.50 = 3,817.89 : x
  2. Step 2: Convert to fraction form
    4,509.83/6,774.50 = 3,817.89/x
  3. Step 3: Cross multiply
    4,509.83x = 6,774.50 × 3,817.89
  4. Step 4: Simplify right side
    4,509.83x = 25,864,305.35
  5. Step 5: Solve for x
    x = 25,864,305.35/4,509.83
  6. Step 6: Final answer
    x = 5,735.09

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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.