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Finding the Fourth Proportional to 6,137.24, 8,469.49 and 3,484.72

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Solution

The fourth proportional to 6,137.24, 8,469.49 and 3,484.72 is: 4,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.24 : 8,469.49 = 3,484.72 : x
  2. Step 2: Convert to fraction form
    6,137.24/8,469.49 = 3,484.72/x
  3. Step 3: Cross multiply
    6,137.24x = 8,469.49 × 3,484.72
  4. Step 4: Simplify right side
    6,137.24x = 29,513,801.19
  5. Step 5: Solve for x
    x = 29,513,801.19/6,137.24
  6. Step 6: Final answer
    x = 4,808.97

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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.