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Finding the Fourth Proportional to 3,993.09, 5,989.15 and 1,071.60

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Solution

The fourth proportional to 3,993.09, 5,989.15 and 1,071.60 is: 1,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.09 : 5,989.15 = 1,071.60 : x
  2. Step 2: Convert to fraction form
    3,993.09/5,989.15 = 1,071.60/x
  3. Step 3: Cross multiply
    3,993.09x = 5,989.15 × 1,071.60
  4. Step 4: Simplify right side
    3,993.09x = 6,417,973.14
  5. Step 5: Solve for x
    x = 6,417,973.14/3,993.09
  6. Step 6: Final answer
    x = 1,607.27

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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.