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Finding the Fourth Proportional to 4,219.29, 6,330.29 and 2,028.18

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Solution

The fourth proportional to 4,219.29, 6,330.29 and 2,028.18 is: 3,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.29 : 6,330.29 = 2,028.18 : x
  2. Step 2: Convert to fraction form
    4,219.29/6,330.29 = 2,028.18/x
  3. Step 3: Cross multiply
    4,219.29x = 6,330.29 × 2,028.18
  4. Step 4: Simplify right side
    4,219.29x = 12,838,967.57
  5. Step 5: Solve for x
    x = 12,838,967.57/4,219.29
  6. Step 6: Final answer
    x = 3,042.92

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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.