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Finding the Fourth Proportional to 4,365, 6,550.38 and 2,056.68

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Solution

The fourth proportional to 4,365, 6,550.38 and 2,056.68 is: 3,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 6,550.38 = 2,056.68 : x
  2. Step 2: Convert to fraction form
    4,365/6,550.38 = 2,056.68/x
  3. Step 3: Cross multiply
    4,365x = 6,550.38 × 2,056.68
  4. Step 4: Simplify right side
    4,365x = 13,472,035.54
  5. Step 5: Solve for x
    x = 13,472,035.54/4,365
  6. Step 6: Final answer
    x = 3,086.38

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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.