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Finding the Fourth Proportional to 5,842.02, 8,061.93 and 3,189.51

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Solution

The fourth proportional to 5,842.02, 8,061.93 and 3,189.51 is: 4,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.02 : 8,061.93 = 3,189.51 : x
  2. Step 2: Convert to fraction form
    5,842.02/8,061.93 = 3,189.51/x
  3. Step 3: Cross multiply
    5,842.02x = 8,061.93 × 3,189.51
  4. Step 4: Simplify right side
    5,842.02x = 25,713,606.35
  5. Step 5: Solve for x
    x = 25,713,606.35/5,842.02
  6. Step 6: Final answer
    x = 4,401.49

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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.