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Finding the Fourth Proportional to 4,133.90, 6,194.48 and 1,940.07

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Solution

The fourth proportional to 4,133.90, 6,194.48 and 1,940.07 is: 2,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.90 : 6,194.48 = 1,940.07 : x
  2. Step 2: Convert to fraction form
    4,133.90/6,194.48 = 1,940.07/x
  3. Step 3: Cross multiply
    4,133.90x = 6,194.48 × 1,940.07
  4. Step 4: Simplify right side
    4,133.90x = 12,017,703.50
  5. Step 5: Solve for x
    x = 12,017,703.50/4,133.90
  6. Step 6: Final answer
    x = 2,907.11

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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.