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Finding the Fourth Proportional to 3,789.30, 5,684.94 and 1,156.74

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Solution

The fourth proportional to 3,789.30, 5,684.94 and 1,156.74 is: 1,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.30 : 5,684.94 = 1,156.74 : x
  2. Step 2: Convert to fraction form
    3,789.30/5,684.94 = 1,156.74/x
  3. Step 3: Cross multiply
    3,789.30x = 5,684.94 × 1,156.74
  4. Step 4: Simplify right side
    3,789.30x = 6,575,997.50
  5. Step 5: Solve for x
    x = 6,575,997.50/3,789.30
  6. Step 6: Final answer
    x = 1,735.41

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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.