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Finding the Fourth Proportional to 4,216.15, 6,318.76 and 2,827.41

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Solution

The fourth proportional to 4,216.15, 6,318.76 and 2,827.41 is: 4,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.15 : 6,318.76 = 2,827.41 : x
  2. Step 2: Convert to fraction form
    4,216.15/6,318.76 = 2,827.41/x
  3. Step 3: Cross multiply
    4,216.15x = 6,318.76 × 2,827.41
  4. Step 4: Simplify right side
    4,216.15x = 17,865,725.21
  5. Step 5: Solve for x
    x = 17,865,725.21/4,216.15
  6. Step 6: Final answer
    x = 4,237.45

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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.