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Finding the Fourth Proportional to 3,857.88, 5,323.90 and 2,089.50

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Solution

The fourth proportional to 3,857.88, 5,323.90 and 2,089.50 is: 2,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.88 : 5,323.90 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    3,857.88/5,323.90 = 2,089.50/x
  3. Step 3: Cross multiply
    3,857.88x = 5,323.90 × 2,089.50
  4. Step 4: Simplify right side
    3,857.88x = 11,124,289.05
  5. Step 5: Solve for x
    x = 11,124,289.05/3,857.88
  6. Step 6: Final answer
    x = 2,883.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.