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Finding the Fourth Proportional to 4,177.58, 6,267.60 and 1,256.33

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Solution

The fourth proportional to 4,177.58, 6,267.60 and 1,256.33 is: 1,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.58 : 6,267.60 = 1,256.33 : x
  2. Step 2: Convert to fraction form
    4,177.58/6,267.60 = 1,256.33/x
  3. Step 3: Cross multiply
    4,177.58x = 6,267.60 × 1,256.33
  4. Step 4: Simplify right side
    4,177.58x = 7,874,173.91
  5. Step 5: Solve for x
    x = 7,874,173.91/4,177.58
  6. Step 6: Final answer
    x = 1,884.86

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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.