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Finding the Fourth Proportional to 3,858.61, 5,782.78 and 2,103.61

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Solution

The fourth proportional to 3,858.61, 5,782.78 and 2,103.61 is: 3,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.61 : 5,782.78 = 2,103.61 : x
  2. Step 2: Convert to fraction form
    3,858.61/5,782.78 = 2,103.61/x
  3. Step 3: Cross multiply
    3,858.61x = 5,782.78 × 2,103.61
  4. Step 4: Simplify right side
    3,858.61x = 12,164,713.84
  5. Step 5: Solve for x
    x = 12,164,713.84/3,858.61
  6. Step 6: Final answer
    x = 3,152.62

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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.