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Finding the Fourth Proportional to 4,600.06, 6,893.40 and 3,484.69

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Solution

The fourth proportional to 4,600.06, 6,893.40 and 3,484.69 is: 5,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.06 : 6,893.40 = 3,484.69 : x
  2. Step 2: Convert to fraction form
    4,600.06/6,893.40 = 3,484.69/x
  3. Step 3: Cross multiply
    4,600.06x = 6,893.40 × 3,484.69
  4. Step 4: Simplify right side
    4,600.06x = 24,021,362.05
  5. Step 5: Solve for x
    x = 24,021,362.05/4,600.06
  6. Step 6: Final answer
    x = 5,221.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.