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Finding the Fourth Proportional to 4,274.14, 6,409.33 and 1,934.05

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Solution

The fourth proportional to 4,274.14, 6,409.33 and 1,934.05 is: 2,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.14 : 6,409.33 = 1,934.05 : x
  2. Step 2: Convert to fraction form
    4,274.14/6,409.33 = 1,934.05/x
  3. Step 3: Cross multiply
    4,274.14x = 6,409.33 × 1,934.05
  4. Step 4: Simplify right side
    4,274.14x = 12,395,973.87
  5. Step 5: Solve for x
    x = 12,395,973.87/4,274.14
  6. Step 6: Final answer
    x = 2,900.22

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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.