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Finding the Fourth Proportional to 3,853.52, 5,779.60 and 1,256.46

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Solution

The fourth proportional to 3,853.52, 5,779.60 and 1,256.46 is: 1,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.52 : 5,779.60 = 1,256.46 : x
  2. Step 2: Convert to fraction form
    3,853.52/5,779.60 = 1,256.46/x
  3. Step 3: Cross multiply
    3,853.52x = 5,779.60 × 1,256.46
  4. Step 4: Simplify right side
    3,853.52x = 7,261,850.98
  5. Step 5: Solve for x
    x = 7,261,850.98/3,853.52
  6. Step 6: Final answer
    x = 1,884.47

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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.