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Finding the Fourth Proportional to 6,468.66, 8,923.77 and 4,580.28

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Solution

The fourth proportional to 6,468.66, 8,923.77 and 4,580.28 is: 6,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.66 : 8,923.77 = 4,580.28 : x
  2. Step 2: Convert to fraction form
    6,468.66/8,923.77 = 4,580.28/x
  3. Step 3: Cross multiply
    6,468.66x = 8,923.77 × 4,580.28
  4. Step 4: Simplify right side
    6,468.66x = 40,873,365.26
  5. Step 5: Solve for x
    x = 40,873,365.26/6,468.66
  6. Step 6: Final answer
    x = 6,318.68

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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.