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Finding the Fourth Proportional to 6,101.05, 8,424.22 and 4,682.49

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Solution

The fourth proportional to 6,101.05, 8,424.22 and 4,682.49 is: 6,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.05 : 8,424.22 = 4,682.49 : x
  2. Step 2: Convert to fraction form
    6,101.05/8,424.22 = 4,682.49/x
  3. Step 3: Cross multiply
    6,101.05x = 8,424.22 × 4,682.49
  4. Step 4: Simplify right side
    6,101.05x = 39,446,314.20
  5. Step 5: Solve for x
    x = 39,446,314.20/6,101.05
  6. Step 6: Final answer
    x = 6,465.50

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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.