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Finding the Fourth Proportional to 6,147.02, 8,480.48 and 3,457.64

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Solution

The fourth proportional to 6,147.02, 8,480.48 and 3,457.64 is: 4,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.02 : 8,480.48 = 3,457.64 : x
  2. Step 2: Convert to fraction form
    6,147.02/8,480.48 = 3,457.64/x
  3. Step 3: Cross multiply
    6,147.02x = 8,480.48 × 3,457.64
  4. Step 4: Simplify right side
    6,147.02x = 29,322,446.87
  5. Step 5: Solve for x
    x = 29,322,446.87/6,147.02
  6. Step 6: Final answer
    x = 4,770.19

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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.