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Finding the Fourth Proportional to 6,003.40, 8,285 and 3,644.16

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Solution

The fourth proportional to 6,003.40, 8,285 and 3,644.16 is: 5,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.40 : 8,285 = 3,644.16 : x
  2. Step 2: Convert to fraction form
    6,003.40/8,285 = 3,644.16/x
  3. Step 3: Cross multiply
    6,003.40x = 8,285 × 3,644.16
  4. Step 4: Simplify right side
    6,003.40x = 30,191,865.60
  5. Step 5: Solve for x
    x = 30,191,865.60/6,003.40
  6. Step 6: Final answer
    x = 5,029.13

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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.