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Finding the Fourth Proportional to 3,783.69, 5,675.94 and 1,592.91

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Solution

The fourth proportional to 3,783.69, 5,675.94 and 1,592.91 is: 2,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.69 : 5,675.94 = 1,592.91 : x
  2. Step 2: Convert to fraction form
    3,783.69/5,675.94 = 1,592.91/x
  3. Step 3: Cross multiply
    3,783.69x = 5,675.94 × 1,592.91
  4. Step 4: Simplify right side
    3,783.69x = 9,041,261.59
  5. Step 5: Solve for x
    x = 9,041,261.59/3,783.69
  6. Step 6: Final answer
    x = 2,389.54

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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.