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Finding the Fourth Proportional to 4,216.59, 6,316.43 and 3,872.12

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Solution

The fourth proportional to 4,216.59, 6,316.43 and 3,872.12 is: 5,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.59 : 6,316.43 = 3,872.12 : x
  2. Step 2: Convert to fraction form
    4,216.59/6,316.43 = 3,872.12/x
  3. Step 3: Cross multiply
    4,216.59x = 6,316.43 × 3,872.12
  4. Step 4: Simplify right side
    4,216.59x = 24,457,923.99
  5. Step 5: Solve for x
    x = 24,457,923.99/4,216.59
  6. Step 6: Final answer
    x = 5,800.40

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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.