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Finding the Fourth Proportional to 5,821.37, 8,019.37 and 4,326.69

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Solution

The fourth proportional to 5,821.37, 8,019.37 and 4,326.69 is: 5,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.37 : 8,019.37 = 4,326.69 : x
  2. Step 2: Convert to fraction form
    5,821.37/8,019.37 = 4,326.69/x
  3. Step 3: Cross multiply
    5,821.37x = 8,019.37 × 4,326.69
  4. Step 4: Simplify right side
    5,821.37x = 34,697,317.17
  5. Step 5: Solve for x
    x = 34,697,317.17/5,821.37
  6. Step 6: Final answer
    x = 5,960.34

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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.