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Finding the Fourth Proportional to 4,218.99, 6,329.16 and 2,138.15

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Solution

The fourth proportional to 4,218.99, 6,329.16 and 2,138.15 is: 3,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.99 : 6,329.16 = 2,138.15 : x
  2. Step 2: Convert to fraction form
    4,218.99/6,329.16 = 2,138.15/x
  3. Step 3: Cross multiply
    4,218.99x = 6,329.16 × 2,138.15
  4. Step 4: Simplify right side
    4,218.99x = 13,532,715.29
  5. Step 5: Solve for x
    x = 13,532,715.29/4,218.99
  6. Step 6: Final answer
    x = 3,207.57

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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.