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Finding the Fourth Proportional to 3,857.58, 5,323.46 and 2,089.19

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Solution

The fourth proportional to 3,857.58, 5,323.46 and 2,089.19 is: 2,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.58 : 5,323.46 = 2,089.19 : x
  2. Step 2: Convert to fraction form
    3,857.58/5,323.46 = 2,089.19/x
  3. Step 3: Cross multiply
    3,857.58x = 5,323.46 × 2,089.19
  4. Step 4: Simplify right side
    3,857.58x = 11,121,698.00
  5. Step 5: Solve for x
    x = 11,121,698.00/3,857.58
  6. Step 6: Final answer
    x = 2,883.08

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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.