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Finding the Fourth Proportional to 3,858.32, 5,783.82 and 1,392.48

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Solution

The fourth proportional to 3,858.32, 5,783.82 and 1,392.48 is: 2,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.32 : 5,783.82 = 1,392.48 : x
  2. Step 2: Convert to fraction form
    3,858.32/5,783.82 = 1,392.48/x
  3. Step 3: Cross multiply
    3,858.32x = 5,783.82 × 1,392.48
  4. Step 4: Simplify right side
    3,858.32x = 8,053,853.67
  5. Step 5: Solve for x
    x = 8,053,853.67/3,858.32
  6. Step 6: Final answer
    x = 2,087.40

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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.