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Finding the Fourth Proportional to 3,923.68, 5,884.32 and 1,948.32

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Solution

The fourth proportional to 3,923.68, 5,884.32 and 1,948.32 is: 2,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.68 : 5,884.32 = 1,948.32 : x
  2. Step 2: Convert to fraction form
    3,923.68/5,884.32 = 1,948.32/x
  3. Step 3: Cross multiply
    3,923.68x = 5,884.32 × 1,948.32
  4. Step 4: Simplify right side
    3,923.68x = 11,464,538.34
  5. Step 5: Solve for x
    x = 11,464,538.34/3,923.68
  6. Step 6: Final answer
    x = 2,921.88

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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.