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Finding the Fourth Proportional to 5,784.93, 7,985.30 and 3,796.13

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Solution

The fourth proportional to 5,784.93, 7,985.30 and 3,796.13 is: 5,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.93 : 7,985.30 = 3,796.13 : x
  2. Step 2: Convert to fraction form
    5,784.93/7,985.30 = 3,796.13/x
  3. Step 3: Cross multiply
    5,784.93x = 7,985.30 × 3,796.13
  4. Step 4: Simplify right side
    5,784.93x = 30,313,236.89
  5. Step 5: Solve for x
    x = 30,313,236.89/5,784.93
  6. Step 6: Final answer
    x = 5,240.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.