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Finding the Fourth Proportional to 4,698.63, 6,469.34 and 3,817.35

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Solution

The fourth proportional to 4,698.63, 6,469.34 and 3,817.35 is: 5,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.63 : 6,469.34 = 3,817.35 : x
  2. Step 2: Convert to fraction form
    4,698.63/6,469.34 = 3,817.35/x
  3. Step 3: Cross multiply
    4,698.63x = 6,469.34 × 3,817.35
  4. Step 4: Simplify right side
    4,698.63x = 24,695,715.96
  5. Step 5: Solve for x
    x = 24,695,715.96/4,698.63
  6. Step 6: Final answer
    x = 5,255.94

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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.