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Finding the Fourth Proportional to 4,206.70, 6,310.27 and 1,573.56

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Solution

The fourth proportional to 4,206.70, 6,310.27 and 1,573.56 is: 2,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.70 : 6,310.27 = 1,573.56 : x
  2. Step 2: Convert to fraction form
    4,206.70/6,310.27 = 1,573.56/x
  3. Step 3: Cross multiply
    4,206.70x = 6,310.27 × 1,573.56
  4. Step 4: Simplify right side
    4,206.70x = 9,929,590.43
  5. Step 5: Solve for x
    x = 9,929,590.43/4,206.70
  6. Step 6: Final answer
    x = 2,360.42

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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.