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Finding the Fourth Proportional to 4,195.96, 6,294.08 and 1,274.25

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Solution

The fourth proportional to 4,195.96, 6,294.08 and 1,274.25 is: 1,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.96 : 6,294.08 = 1,274.25 : x
  2. Step 2: Convert to fraction form
    4,195.96/6,294.08 = 1,274.25/x
  3. Step 3: Cross multiply
    4,195.96x = 6,294.08 × 1,274.25
  4. Step 4: Simplify right side
    4,195.96x = 8,020,225.07
  5. Step 5: Solve for x
    x = 8,020,225.07/4,195.96
  6. Step 6: Final answer
    x = 1,911.42

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