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Finding the Fourth Proportional to 4,171.80, 6,255.74 and 1,538.64

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Solution

The fourth proportional to 4,171.80, 6,255.74 and 1,538.64 is: 2,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.80 : 6,255.74 = 1,538.64 : x
  2. Step 2: Convert to fraction form
    4,171.80/6,255.74 = 1,538.64/x
  3. Step 3: Cross multiply
    4,171.80x = 6,255.74 × 1,538.64
  4. Step 4: Simplify right side
    4,171.80x = 9,625,331.79
  5. Step 5: Solve for x
    x = 9,625,331.79/4,171.80
  6. Step 6: Final answer
    x = 2,307.24

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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.