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Finding the Fourth Proportional to 4,661.80, 6,989.01 and 3,196.60

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Solution

The fourth proportional to 4,661.80, 6,989.01 and 3,196.60 is: 4,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.80 : 6,989.01 = 3,196.60 : x
  2. Step 2: Convert to fraction form
    4,661.80/6,989.01 = 3,196.60/x
  3. Step 3: Cross multiply
    4,661.80x = 6,989.01 × 3,196.60
  4. Step 4: Simplify right side
    4,661.80x = 22,341,069.37
  5. Step 5: Solve for x
    x = 22,341,069.37/4,661.80
  6. Step 6: Final answer
    x = 4,792.37

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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.