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Finding the Fourth Proportional to 4,650.83, 6,412.72 and 3,469.85

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Solution

The fourth proportional to 4,650.83, 6,412.72 and 3,469.85 is: 4,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.83 : 6,412.72 = 3,469.85 : x
  2. Step 2: Convert to fraction form
    4,650.83/6,412.72 = 3,469.85/x
  3. Step 3: Cross multiply
    4,650.83x = 6,412.72 × 3,469.85
  4. Step 4: Simplify right side
    4,650.83x = 22,251,176.49
  5. Step 5: Solve for x
    x = 22,251,176.49/4,650.83
  6. Step 6: Final answer
    x = 4,784.35

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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.