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Finding the Fourth Proportional to 4,857.73, 7,285.82 and 1,737.16

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Solution

The fourth proportional to 4,857.73, 7,285.82 and 1,737.16 is: 2,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.73 : 7,285.82 = 1,737.16 : x
  2. Step 2: Convert to fraction form
    4,857.73/7,285.82 = 1,737.16/x
  3. Step 3: Cross multiply
    4,857.73x = 7,285.82 × 1,737.16
  4. Step 4: Simplify right side
    4,857.73x = 12,656,589.96
  5. Step 5: Solve for x
    x = 12,656,589.96/4,857.73
  6. Step 6: Final answer
    x = 2,605.45

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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.