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Finding the Fourth Proportional to 6,142.21, 8,476.28 and 3,489.76

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Solution

The fourth proportional to 6,142.21, 8,476.28 and 3,489.76 is: 4,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.21 : 8,476.28 = 3,489.76 : x
  2. Step 2: Convert to fraction form
    6,142.21/8,476.28 = 3,489.76/x
  3. Step 3: Cross multiply
    6,142.21x = 8,476.28 × 3,489.76
  4. Step 4: Simplify right side
    6,142.21x = 29,580,165.44
  5. Step 5: Solve for x
    x = 29,580,165.44/6,142.21
  6. Step 6: Final answer
    x = 4,815.89

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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.