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Finding the Fourth Proportional to 6,101.31, 8,421.60 and 3,549.68

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Solution

The fourth proportional to 6,101.31, 8,421.60 and 3,549.68 is: 4,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.31 : 8,421.60 = 3,549.68 : x
  2. Step 2: Convert to fraction form
    6,101.31/8,421.60 = 3,549.68/x
  3. Step 3: Cross multiply
    6,101.31x = 8,421.60 × 3,549.68
  4. Step 4: Simplify right side
    6,101.31x = 29,893,942.98
  5. Step 5: Solve for x
    x = 29,893,942.98/6,101.31
  6. Step 6: Final answer
    x = 4,899.59

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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.