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Finding the Fourth Proportional to 4,020.12, 6,030.12 and 2,071.20

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Solution

The fourth proportional to 4,020.12, 6,030.12 and 2,071.20 is: 3,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.12 : 6,030.12 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    4,020.12/6,030.12 = 2,071.20/x
  3. Step 3: Cross multiply
    4,020.12x = 6,030.12 × 2,071.20
  4. Step 4: Simplify right side
    4,020.12x = 12,489,584.54
  5. Step 5: Solve for x
    x = 12,489,584.54/4,020.12
  6. Step 6: Final answer
    x = 3,106.77

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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.