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Finding the Fourth Proportional to 4,145.61, 6,219.90 and 2,065.43

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Solution

The fourth proportional to 4,145.61, 6,219.90 and 2,065.43 is: 3,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.61 : 6,219.90 = 2,065.43 : x
  2. Step 2: Convert to fraction form
    4,145.61/6,219.90 = 2,065.43/x
  3. Step 3: Cross multiply
    4,145.61x = 6,219.90 × 2,065.43
  4. Step 4: Simplify right side
    4,145.61x = 12,846,768.06
  5. Step 5: Solve for x
    x = 12,846,768.06/4,145.61
  6. Step 6: Final answer
    x = 3,098.88

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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.