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Finding the Fourth Proportional to 2,573.73, 3,857.36 and 1,275.57

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Solution

The fourth proportional to 2,573.73, 3,857.36 and 1,275.57 is: 1,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.73 : 3,857.36 = 1,275.57 : x
  2. Step 2: Convert to fraction form
    2,573.73/3,857.36 = 1,275.57/x
  3. Step 3: Cross multiply
    2,573.73x = 3,857.36 × 1,275.57
  4. Step 4: Simplify right side
    2,573.73x = 4,920,326.32
  5. Step 5: Solve for x
    x = 4,920,326.32/2,573.73
  6. Step 6: Final answer
    x = 1,911.75

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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.