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Finding the Fourth Proportional to 4,083.36, 5,646.90 and 4,009.56

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Solution

The fourth proportional to 4,083.36, 5,646.90 and 4,009.56 is: 5,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.36 : 5,646.90 = 4,009.56 : x
  2. Step 2: Convert to fraction form
    4,083.36/5,646.90 = 4,009.56/x
  3. Step 3: Cross multiply
    4,083.36x = 5,646.90 × 4,009.56
  4. Step 4: Simplify right side
    4,083.36x = 22,641,584.36
  5. Step 5: Solve for x
    x = 22,641,584.36/4,083.36
  6. Step 6: Final answer
    x = 5,544.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.