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Finding the Fourth Proportional to 4,532.05, 6,239.94 and 4,116.83

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Solution

The fourth proportional to 4,532.05, 6,239.94 and 4,116.83 is: 5,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.05 : 6,239.94 = 4,116.83 : x
  2. Step 2: Convert to fraction form
    4,532.05/6,239.94 = 4,116.83/x
  3. Step 3: Cross multiply
    4,532.05x = 6,239.94 × 4,116.83
  4. Step 4: Simplify right side
    4,532.05x = 25,688,725.55
  5. Step 5: Solve for x
    x = 25,688,725.55/4,532.05
  6. Step 6: Final answer
    x = 5,668.23

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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.