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Finding the Fourth Proportional to 4,205.43, 6,315.18 and 2,627.82

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Solution

The fourth proportional to 4,205.43, 6,315.18 and 2,627.82 is: 3,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.43 : 6,315.18 = 2,627.82 : x
  2. Step 2: Convert to fraction form
    4,205.43/6,315.18 = 2,627.82/x
  3. Step 3: Cross multiply
    4,205.43x = 6,315.18 × 2,627.82
  4. Step 4: Simplify right side
    4,205.43x = 16,595,156.31
  5. Step 5: Solve for x
    x = 16,595,156.31/4,205.43
  6. Step 6: Final answer
    x = 3,946.13

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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.