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Finding the Fourth Proportional to 3,783.90, 5,676.30 and 1,592.04

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Solution

The fourth proportional to 3,783.90, 5,676.30 and 1,592.04 is: 2,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.90 : 5,676.30 = 1,592.04 : x
  2. Step 2: Convert to fraction form
    3,783.90/5,676.30 = 1,592.04/x
  3. Step 3: Cross multiply
    3,783.90x = 5,676.30 × 1,592.04
  4. Step 4: Simplify right side
    3,783.90x = 9,036,896.65
  5. Step 5: Solve for x
    x = 9,036,896.65/3,783.90
  6. Step 6: Final answer
    x = 2,388.25

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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.