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Finding the Fourth Proportional to 3,857.55, 5,323.41 and 2,089.16

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Solution

The fourth proportional to 3,857.55, 5,323.41 and 2,089.16 is: 2,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.55 : 5,323.41 = 2,089.16 : x
  2. Step 2: Convert to fraction form
    3,857.55/5,323.41 = 2,089.16/x
  3. Step 3: Cross multiply
    3,857.55x = 5,323.41 × 2,089.16
  4. Step 4: Simplify right side
    3,857.55x = 11,121,455.24
  5. Step 5: Solve for x
    x = 11,121,455.24/3,857.55
  6. Step 6: Final answer
    x = 2,883.04

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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.