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Finding the Fourth Proportional to 5,193.26, 7,787.98 and 4,084.84

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Solution

The fourth proportional to 5,193.26, 7,787.98 and 4,084.84 is: 6,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.26 : 7,787.98 = 4,084.84 : x
  2. Step 2: Convert to fraction form
    5,193.26/7,787.98 = 4,084.84/x
  3. Step 3: Cross multiply
    5,193.26x = 7,787.98 × 4,084.84
  4. Step 4: Simplify right side
    5,193.26x = 31,812,652.22
  5. Step 5: Solve for x
    x = 31,812,652.22/5,193.26
  6. Step 6: Final answer
    x = 6,125.76

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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.