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Finding the Fourth Proportional to 4,216.85, 6,329.10 and 2,138.30

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Solution

The fourth proportional to 4,216.85, 6,329.10 and 2,138.30 is: 3,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.85 : 6,329.10 = 2,138.30 : x
  2. Step 2: Convert to fraction form
    4,216.85/6,329.10 = 2,138.30/x
  3. Step 3: Cross multiply
    4,216.85x = 6,329.10 × 2,138.30
  4. Step 4: Simplify right side
    4,216.85x = 13,533,514.53
  5. Step 5: Solve for x
    x = 13,533,514.53/4,216.85
  6. Step 6: Final answer
    x = 3,209.39

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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.