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Finding the Fourth Proportional to 4,365.62, 6,550.71 and 4,130.37

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Solution

The fourth proportional to 4,365.62, 6,550.71 and 4,130.37 is: 6,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.62 : 6,550.71 = 4,130.37 : x
  2. Step 2: Convert to fraction form
    4,365.62/6,550.71 = 4,130.37/x
  3. Step 3: Cross multiply
    4,365.62x = 6,550.71 × 4,130.37
  4. Step 4: Simplify right side
    4,365.62x = 27,056,856.06
  5. Step 5: Solve for x
    x = 27,056,856.06/4,365.62
  6. Step 6: Final answer
    x = 6,197.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.