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Finding the Fourth Proportional to 3,135.42, 4,704.68 and 2,216.88

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Solution

The fourth proportional to 3,135.42, 4,704.68 and 2,216.88 is: 3,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.42 : 4,704.68 = 2,216.88 : x
  2. Step 2: Convert to fraction form
    3,135.42/4,704.68 = 2,216.88/x
  3. Step 3: Cross multiply
    3,135.42x = 4,704.68 × 2,216.88
  4. Step 4: Simplify right side
    3,135.42x = 10,429,699.91
  5. Step 5: Solve for x
    x = 10,429,699.91/3,135.42
  6. Step 6: Final answer
    x = 3,326.41

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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.