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Finding the Fourth Proportional to 5,879.36, 8,112.66 and 3,521

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Solution

The fourth proportional to 5,879.36, 8,112.66 and 3,521 is: 4,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.36 : 8,112.66 = 3,521 : x
  2. Step 2: Convert to fraction form
    5,879.36/8,112.66 = 3,521/x
  3. Step 3: Cross multiply
    5,879.36x = 8,112.66 × 3,521
  4. Step 4: Simplify right side
    5,879.36x = 28,564,675.86
  5. Step 5: Solve for x
    x = 28,564,675.86/5,879.36
  6. Step 6: Final answer
    x = 4,858.47

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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.