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Finding the Fourth Proportional to 4,017.12, 6,020.16 and 2,065.20

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Solution

The fourth proportional to 4,017.12, 6,020.16 and 2,065.20 is: 3,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.12 : 6,020.16 = 2,065.20 : x
  2. Step 2: Convert to fraction form
    4,017.12/6,020.16 = 2,065.20/x
  3. Step 3: Cross multiply
    4,017.12x = 6,020.16 × 2,065.20
  4. Step 4: Simplify right side
    4,017.12x = 12,432,834.43
  5. Step 5: Solve for x
    x = 12,432,834.43/4,017.12
  6. Step 6: Final answer
    x = 3,094.96

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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.