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Finding the Fourth Proportional to 5,204.29, 7,806.45 and 1,915.96

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Solution

The fourth proportional to 5,204.29, 7,806.45 and 1,915.96 is: 2,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.29 : 7,806.45 = 1,915.96 : x
  2. Step 2: Convert to fraction form
    5,204.29/7,806.45 = 1,915.96/x
  3. Step 3: Cross multiply
    5,204.29x = 7,806.45 × 1,915.96
  4. Step 4: Simplify right side
    5,204.29x = 14,956,845.94
  5. Step 5: Solve for x
    x = 14,956,845.94/5,204.29
  6. Step 6: Final answer
    x = 2,873.95

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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.