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Finding the Fourth Proportional to 4,285.35, 6,418.73 and 4,180.82

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Solution

The fourth proportional to 4,285.35, 6,418.73 and 4,180.82 is: 6,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.35 : 6,418.73 = 4,180.82 : x
  2. Step 2: Convert to fraction form
    4,285.35/6,418.73 = 4,180.82/x
  3. Step 3: Cross multiply
    4,285.35x = 6,418.73 × 4,180.82
  4. Step 4: Simplify right side
    4,285.35x = 26,835,533.12
  5. Step 5: Solve for x
    x = 26,835,533.12/4,285.35
  6. Step 6: Final answer
    x = 6,262.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.