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Finding the Fourth Proportional to 6,002.12, 9,002.94 and 1,619.40

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Solution

The fourth proportional to 6,002.12, 9,002.94 and 1,619.40 is: 2,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.12 : 9,002.94 = 1,619.40 : x
  2. Step 2: Convert to fraction form
    6,002.12/9,002.94 = 1,619.40/x
  3. Step 3: Cross multiply
    6,002.12x = 9,002.94 × 1,619.40
  4. Step 4: Simplify right side
    6,002.12x = 14,579,361.04
  5. Step 5: Solve for x
    x = 14,579,361.04/6,002.12
  6. Step 6: Final answer
    x = 2,429.04

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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.