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Finding the Fourth Proportional to 5,661.86, 7,817.16 and 4,333.18

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Solution

The fourth proportional to 5,661.86, 7,817.16 and 4,333.18 is: 5,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.86 : 7,817.16 = 4,333.18 : x
  2. Step 2: Convert to fraction form
    5,661.86/7,817.16 = 4,333.18/x
  3. Step 3: Cross multiply
    5,661.86x = 7,817.16 × 4,333.18
  4. Step 4: Simplify right side
    5,661.86x = 33,873,161.37
  5. Step 5: Solve for x
    x = 33,873,161.37/5,661.86
  6. Step 6: Final answer
    x = 5,982.69

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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.