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Finding the Fourth Proportional to 6,645.84, 9,170.91 and 3,661.60

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Solution

The fourth proportional to 6,645.84, 9,170.91 and 3,661.60 is: 5,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.84 : 9,170.91 = 3,661.60 : x
  2. Step 2: Convert to fraction form
    6,645.84/9,170.91 = 3,661.60/x
  3. Step 3: Cross multiply
    6,645.84x = 9,170.91 × 3,661.60
  4. Step 4: Simplify right side
    6,645.84x = 33,580,204.06
  5. Step 5: Solve for x
    x = 33,580,204.06/6,645.84
  6. Step 6: Final answer
    x = 5,052.82

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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.