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Finding the Fourth Proportional to 3,921.56, 5,882.30 and 999.83

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Solution

The fourth proportional to 3,921.56, 5,882.30 and 999.83 is: 1,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.56 : 5,882.30 = 999.83 : x
  2. Step 2: Convert to fraction form
    3,921.56/5,882.30 = 999.83/x
  3. Step 3: Cross multiply
    3,921.56x = 5,882.30 × 999.83
  4. Step 4: Simplify right side
    3,921.56x = 5,881,313.46
  5. Step 5: Solve for x
    x = 5,881,313.46/3,921.56
  6. Step 6: Final answer
    x = 1,499.74

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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.