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Finding the Fourth Proportional to 8,280.58, 12,419.79 and 3,662.50

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Solution

The fourth proportional to 8,280.58, 12,419.79 and 3,662.50 is: 5,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.58 : 12,419.79 = 3,662.50 : x
  2. Step 2: Convert to fraction form
    8,280.58/12,419.79 = 3,662.50/x
  3. Step 3: Cross multiply
    8,280.58x = 12,419.79 × 3,662.50
  4. Step 4: Simplify right side
    8,280.58x = 45,487,480.88
  5. Step 5: Solve for x
    x = 45,487,480.88/8,280.58
  6. Step 6: Final answer
    x = 5,493.27

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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.