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Finding the Fourth Proportional to 4,971.82, 6,864.29 and 3,086.18

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Solution

The fourth proportional to 4,971.82, 6,864.29 and 3,086.18 is: 4,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.82 : 6,864.29 = 3,086.18 : x
  2. Step 2: Convert to fraction form
    4,971.82/6,864.29 = 3,086.18/x
  3. Step 3: Cross multiply
    4,971.82x = 6,864.29 × 3,086.18
  4. Step 4: Simplify right side
    4,971.82x = 21,184,420.13
  5. Step 5: Solve for x
    x = 21,184,420.13/4,971.82
  6. Step 6: Final answer
    x = 4,260.90

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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.