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Finding the Fourth Proportional to 4,195.68, 6,293.93 and 1,274.01

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Solution

The fourth proportional to 4,195.68, 6,293.93 and 1,274.01 is: 1,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.68 : 6,293.93 = 1,274.01 : x
  2. Step 2: Convert to fraction form
    4,195.68/6,293.93 = 1,274.01/x
  3. Step 3: Cross multiply
    4,195.68x = 6,293.93 × 1,274.01
  4. Step 4: Simplify right side
    4,195.68x = 8,018,523.39
  5. Step 5: Solve for x
    x = 8,018,523.39/4,195.68
  6. Step 6: Final answer
    x = 1,911.14

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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.