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Finding the Fourth Proportional to 4,011.46, 6,017.94 and 1,820.34

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Solution

The fourth proportional to 4,011.46, 6,017.94 and 1,820.34 is: 2,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.46 : 6,017.94 = 1,820.34 : x
  2. Step 2: Convert to fraction form
    4,011.46/6,017.94 = 1,820.34/x
  3. Step 3: Cross multiply
    4,011.46x = 6,017.94 × 1,820.34
  4. Step 4: Simplify right side
    4,011.46x = 10,954,696.90
  5. Step 5: Solve for x
    x = 10,954,696.90/4,011.46
  6. Step 6: Final answer
    x = 2,730.85

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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.