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Finding the Fourth Proportional to 3,982.42, 5,969.12 and 2,030.50

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Solution

The fourth proportional to 3,982.42, 5,969.12 and 2,030.50 is: 3,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.42 : 5,969.12 = 2,030.50 : x
  2. Step 2: Convert to fraction form
    3,982.42/5,969.12 = 2,030.50/x
  3. Step 3: Cross multiply
    3,982.42x = 5,969.12 × 2,030.50
  4. Step 4: Simplify right side
    3,982.42x = 12,120,298.16
  5. Step 5: Solve for x
    x = 12,120,298.16/3,982.42
  6. Step 6: Final answer
    x = 3,043.45

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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.