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Finding the Fourth Proportional to 6,104.37, 8,420.93 and 3,862.47

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Solution

The fourth proportional to 6,104.37, 8,420.93 and 3,862.47 is: 5,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.37 : 8,420.93 = 3,862.47 : x
  2. Step 2: Convert to fraction form
    6,104.37/8,420.93 = 3,862.47/x
  3. Step 3: Cross multiply
    6,104.37x = 8,420.93 × 3,862.47
  4. Step 4: Simplify right side
    6,104.37x = 32,525,589.50
  5. Step 5: Solve for x
    x = 32,525,589.50/6,104.37
  6. Step 6: Final answer
    x = 5,328.25

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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.