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Finding the Fourth Proportional to 5,078.84, 7,616.23 and 1,957.11

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Solution

The fourth proportional to 5,078.84, 7,616.23 and 1,957.11 is: 2,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.84 : 7,616.23 = 1,957.11 : x
  2. Step 2: Convert to fraction form
    5,078.84/7,616.23 = 1,957.11/x
  3. Step 3: Cross multiply
    5,078.84x = 7,616.23 × 1,957.11
  4. Step 4: Simplify right side
    5,078.84x = 14,905,766.44
  5. Step 5: Solve for x
    x = 14,905,766.44/5,078.84
  6. Step 6: Final answer
    x = 2,934.88

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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.