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Finding the Fourth Proportional to 5,828.86, 8,041.85 and 3,559.37

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Solution

The fourth proportional to 5,828.86, 8,041.85 and 3,559.37 is: 4,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.86 : 8,041.85 = 3,559.37 : x
  2. Step 2: Convert to fraction form
    5,828.86/8,041.85 = 3,559.37/x
  3. Step 3: Cross multiply
    5,828.86x = 8,041.85 × 3,559.37
  4. Step 4: Simplify right side
    5,828.86x = 28,623,971.14
  5. Step 5: Solve for x
    x = 28,623,971.14/5,828.86
  6. Step 6: Final answer
    x = 4,910.73

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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.