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Finding the Fourth Proportional to 6,181.83, 8,532.54 and 3,530.16

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Solution

The fourth proportional to 6,181.83, 8,532.54 and 3,530.16 is: 4,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.83 : 8,532.54 = 3,530.16 : x
  2. Step 2: Convert to fraction form
    6,181.83/8,532.54 = 3,530.16/x
  3. Step 3: Cross multiply
    6,181.83x = 8,532.54 × 3,530.16
  4. Step 4: Simplify right side
    6,181.83x = 30,121,231.41
  5. Step 5: Solve for x
    x = 30,121,231.41/6,181.83
  6. Step 6: Final answer
    x = 4,872.54

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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.