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Finding the Fourth Proportional to 6,102.64, 8,421.34 and 3,449.53

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Solution

The fourth proportional to 6,102.64, 8,421.34 and 3,449.53 is: 4,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.64 : 8,421.34 = 3,449.53 : x
  2. Step 2: Convert to fraction form
    6,102.64/8,421.34 = 3,449.53/x
  3. Step 3: Cross multiply
    6,102.64x = 8,421.34 × 3,449.53
  4. Step 4: Simplify right side
    6,102.64x = 29,049,664.97
  5. Step 5: Solve for x
    x = 29,049,664.97/6,102.64
  6. Step 6: Final answer
    x = 4,760.18

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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.