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Finding the Fourth Proportional to 4,104, 6,155.94 and 1,911.50

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Solution

The fourth proportional to 4,104, 6,155.94 and 1,911.50 is: 2,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104 : 6,155.94 = 1,911.50 : x
  2. Step 2: Convert to fraction form
    4,104/6,155.94 = 1,911.50/x
  3. Step 3: Cross multiply
    4,104x = 6,155.94 × 1,911.50
  4. Step 4: Simplify right side
    4,104x = 11,767,079.31
  5. Step 5: Solve for x
    x = 11,767,079.31/4,104
  6. Step 6: Final answer
    x = 2,867.22

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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.