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Finding the Fourth Proportional to 4,071.54, 6,083.49 and 3,012.84

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Solution

The fourth proportional to 4,071.54, 6,083.49 and 3,012.84 is: 4,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.54 : 6,083.49 = 3,012.84 : x
  2. Step 2: Convert to fraction form
    4,071.54/6,083.49 = 3,012.84/x
  3. Step 3: Cross multiply
    4,071.54x = 6,083.49 × 3,012.84
  4. Step 4: Simplify right side
    4,071.54x = 18,328,582.01
  5. Step 5: Solve for x
    x = 18,328,582.01/4,071.54
  6. Step 6: Final answer
    x = 4,501.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.