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Finding the Fourth Proportional to 4,176.58, 6,266.10 and 1,255.33

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Solution

The fourth proportional to 4,176.58, 6,266.10 and 1,255.33 is: 1,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.58 : 6,266.10 = 1,255.33 : x
  2. Step 2: Convert to fraction form
    4,176.58/6,266.10 = 1,255.33/x
  3. Step 3: Cross multiply
    4,176.58x = 6,266.10 × 1,255.33
  4. Step 4: Simplify right side
    4,176.58x = 7,866,023.31
  5. Step 5: Solve for x
    x = 7,866,023.31/4,176.58
  6. Step 6: Final answer
    x = 1,883.36

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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.