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Finding the Fourth Proportional to 5,699.30, 7,865.43 and 3,181.90

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Solution

The fourth proportional to 5,699.30, 7,865.43 and 3,181.90 is: 4,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.30 : 7,865.43 = 3,181.90 : x
  2. Step 2: Convert to fraction form
    5,699.30/7,865.43 = 3,181.90/x
  3. Step 3: Cross multiply
    5,699.30x = 7,865.43 × 3,181.90
  4. Step 4: Simplify right side
    5,699.30x = 25,026,995.81
  5. Step 5: Solve for x
    x = 25,026,995.81/5,699.30
  6. Step 6: Final answer
    x = 4,391.24

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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.