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Finding the Fourth Proportional to 4,704.06, 6,489.94 and 3,583.22

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Solution

The fourth proportional to 4,704.06, 6,489.94 and 3,583.22 is: 4,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.06 : 6,489.94 = 3,583.22 : x
  2. Step 2: Convert to fraction form
    4,704.06/6,489.94 = 3,583.22/x
  3. Step 3: Cross multiply
    4,704.06x = 6,489.94 × 3,583.22
  4. Step 4: Simplify right side
    4,704.06x = 23,254,882.81
  5. Step 5: Solve for x
    x = 23,254,882.81/4,704.06
  6. Step 6: Final answer
    x = 4,943.58

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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.