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Finding the Fourth Proportional to 5,077.78, 7,616.58 and 1,958.47

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Solution

The fourth proportional to 5,077.78, 7,616.58 and 1,958.47 is: 2,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.78 : 7,616.58 = 1,958.47 : x
  2. Step 2: Convert to fraction form
    5,077.78/7,616.58 = 1,958.47/x
  3. Step 3: Cross multiply
    5,077.78x = 7,616.58 × 1,958.47
  4. Step 4: Simplify right side
    5,077.78x = 14,916,843.43
  5. Step 5: Solve for x
    x = 14,916,843.43/5,077.78
  6. Step 6: Final answer
    x = 2,937.67

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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.