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Finding the Fourth Proportional to 3,056.37, 4,583.94 and 864.51

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Solution

The fourth proportional to 3,056.37, 4,583.94 and 864.51 is: 1,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.37 : 4,583.94 = 864.51 : x
  2. Step 2: Convert to fraction form
    3,056.37/4,583.94 = 864.51/x
  3. Step 3: Cross multiply
    3,056.37x = 4,583.94 × 864.51
  4. Step 4: Simplify right side
    3,056.37x = 3,962,861.97
  5. Step 5: Solve for x
    x = 3,962,861.97/3,056.37
  6. Step 6: Final answer
    x = 1,296.59

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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.