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Finding the Fourth Proportional to 3,853.08, 5,780.43 and 1,257.84

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Solution

The fourth proportional to 3,853.08, 5,780.43 and 1,257.84 is: 1,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.08 : 5,780.43 = 1,257.84 : x
  2. Step 2: Convert to fraction form
    3,853.08/5,780.43 = 1,257.84/x
  3. Step 3: Cross multiply
    3,853.08x = 5,780.43 × 1,257.84
  4. Step 4: Simplify right side
    3,853.08x = 7,270,856.07
  5. Step 5: Solve for x
    x = 7,270,856.07/3,853.08
  6. Step 6: Final answer
    x = 1,887.02

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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.