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Finding the Fourth Proportional to 5,435.78, 8,147.94 and 2,516

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Solution

The fourth proportional to 5,435.78, 8,147.94 and 2,516 is: 3,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.78 : 8,147.94 = 2,516 : x
  2. Step 2: Convert to fraction form
    5,435.78/8,147.94 = 2,516/x
  3. Step 3: Cross multiply
    5,435.78x = 8,147.94 × 2,516
  4. Step 4: Simplify right side
    5,435.78x = 20,500,217.04
  5. Step 5: Solve for x
    x = 20,500,217.04/5,435.78
  6. Step 6: Final answer
    x = 3,771.35

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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.