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Finding the Fourth Proportional to 6,033.42, 8,323.16 and 3,671.46

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Solution

The fourth proportional to 6,033.42, 8,323.16 and 3,671.46 is: 5,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.42 : 8,323.16 = 3,671.46 : x
  2. Step 2: Convert to fraction form
    6,033.42/8,323.16 = 3,671.46/x
  3. Step 3: Cross multiply
    6,033.42x = 8,323.16 × 3,671.46
  4. Step 4: Simplify right side
    6,033.42x = 30,558,130.66
  5. Step 5: Solve for x
    x = 30,558,130.66/6,033.42
  6. Step 6: Final answer
    x = 5,064.81

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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.