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Finding the Fourth Proportional to 5,847.80, 8,775.88 and 3,969

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Solution

The fourth proportional to 5,847.80, 8,775.88 and 3,969 is: 5,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.80 : 8,775.88 = 3,969 : x
  2. Step 2: Convert to fraction form
    5,847.80/8,775.88 = 3,969/x
  3. Step 3: Cross multiply
    5,847.80x = 8,775.88 × 3,969
  4. Step 4: Simplify right side
    5,847.80x = 34,831,467.72
  5. Step 5: Solve for x
    x = 34,831,467.72/5,847.80
  6. Step 6: Final answer
    x = 5,956.34

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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.