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Finding the Fourth Proportional to 4,195.27, 6,291.94 and 1,854

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Solution

The fourth proportional to 4,195.27, 6,291.94 and 1,854 is: 2,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.27 : 6,291.94 = 1,854 : x
  2. Step 2: Convert to fraction form
    4,195.27/6,291.94 = 1,854/x
  3. Step 3: Cross multiply
    4,195.27x = 6,291.94 × 1,854
  4. Step 4: Simplify right side
    4,195.27x = 11,665,247.49
  5. Step 5: Solve for x
    x = 11,665,247.49/4,195.27
  6. Step 6: Final answer
    x = 2,780.57

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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.