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Finding the Fourth Proportional to 6,406.45, 8,840.61 and 4,727.25

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Solution

The fourth proportional to 6,406.45, 8,840.61 and 4,727.25 is: 6,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.45 : 8,840.61 = 4,727.25 : x
  2. Step 2: Convert to fraction form
    6,406.45/8,840.61 = 4,727.25/x
  3. Step 3: Cross multiply
    6,406.45x = 8,840.61 × 4,727.25
  4. Step 4: Simplify right side
    6,406.45x = 41,791,773.62
  5. Step 5: Solve for x
    x = 41,791,773.62/6,406.45
  6. Step 6: Final answer
    x = 6,523.39

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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.