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Finding the Fourth Proportional to 5,280.94, 7,914.41 and 2,810.44

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Solution

The fourth proportional to 5,280.94, 7,914.41 and 2,810.44 is: 4,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.94 : 7,914.41 = 2,810.44 : x
  2. Step 2: Convert to fraction form
    5,280.94/7,914.41 = 2,810.44/x
  3. Step 3: Cross multiply
    5,280.94x = 7,914.41 × 2,810.44
  4. Step 4: Simplify right side
    5,280.94x = 22,242,974.44
  5. Step 5: Solve for x
    x = 22,242,974.44/5,280.94
  6. Step 6: Final answer
    x = 4,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.