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Finding the Fourth Proportional to 4,196.90, 6,297.56 and 1,858.52

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Solution

The fourth proportional to 4,196.90, 6,297.56 and 1,858.52 is: 2,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.90 : 6,297.56 = 1,858.52 : x
  2. Step 2: Convert to fraction form
    4,196.90/6,297.56 = 1,858.52/x
  3. Step 3: Cross multiply
    4,196.90x = 6,297.56 × 1,858.52
  4. Step 4: Simplify right side
    4,196.90x = 11,704,173.41
  5. Step 5: Solve for x
    x = 11,704,173.41/4,196.90
  6. Step 6: Final answer
    x = 2,788.76

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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.