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Finding the Fourth Proportional to 4,704.54, 6,489.30 and 3,583.50

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Solution

The fourth proportional to 4,704.54, 6,489.30 and 3,583.50 is: 4,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.54 : 6,489.30 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    4,704.54/6,489.30 = 3,583.50/x
  3. Step 3: Cross multiply
    4,704.54x = 6,489.30 × 3,583.50
  4. Step 4: Simplify right side
    4,704.54x = 23,254,406.55
  5. Step 5: Solve for x
    x = 23,254,406.55/4,704.54
  6. Step 6: Final answer
    x = 4,942.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.