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Finding the Fourth Proportional to 4,033.61, 5,588.79 and 3,946.13

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Solution

The fourth proportional to 4,033.61, 5,588.79 and 3,946.13 is: 5,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.61 : 5,588.79 = 3,946.13 : x
  2. Step 2: Convert to fraction form
    4,033.61/5,588.79 = 3,946.13/x
  3. Step 3: Cross multiply
    4,033.61x = 5,588.79 × 3,946.13
  4. Step 4: Simplify right side
    4,033.61x = 22,054,063.94
  5. Step 5: Solve for x
    x = 22,054,063.94/4,033.61
  6. Step 6: Final answer
    x = 5,467.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.