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Finding the Fourth Proportional to 5,418.38, 7,477.71 and 3,059.66

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Solution

The fourth proportional to 5,418.38, 7,477.71 and 3,059.66 is: 4,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.38 : 7,477.71 = 3,059.66 : x
  2. Step 2: Convert to fraction form
    5,418.38/7,477.71 = 3,059.66/x
  3. Step 3: Cross multiply
    5,418.38x = 7,477.71 × 3,059.66
  4. Step 4: Simplify right side
    5,418.38x = 22,879,250.18
  5. Step 5: Solve for x
    x = 22,879,250.18/5,418.38
  6. Step 6: Final answer
    x = 4,222.53

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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.