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Finding the Fourth Proportional to 3,855.86, 5,782.50 and 1,258.18

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Solution

The fourth proportional to 3,855.86, 5,782.50 and 1,258.18 is: 1,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.86 : 5,782.50 = 1,258.18 : x
  2. Step 2: Convert to fraction form
    3,855.86/5,782.50 = 1,258.18/x
  3. Step 3: Cross multiply
    3,855.86x = 5,782.50 × 1,258.18
  4. Step 4: Simplify right side
    3,855.86x = 7,275,425.85
  5. Step 5: Solve for x
    x = 7,275,425.85/3,855.86
  6. Step 6: Final answer
    x = 1,886.85

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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.