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Finding the Fourth Proportional to 3,873.12, 5,806.04 and 1,923.45

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Solution

The fourth proportional to 3,873.12, 5,806.04 and 1,923.45 is: 2,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.12 : 5,806.04 = 1,923.45 : x
  2. Step 2: Convert to fraction form
    3,873.12/5,806.04 = 1,923.45/x
  3. Step 3: Cross multiply
    3,873.12x = 5,806.04 × 1,923.45
  4. Step 4: Simplify right side
    3,873.12x = 11,167,618.02
  5. Step 5: Solve for x
    x = 11,167,618.02/3,873.12
  6. Step 6: Final answer
    x = 2,883.36

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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.