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Finding the Fourth Proportional to 4,164.81, 5,752.16 and 2,836.20

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Solution

The fourth proportional to 4,164.81, 5,752.16 and 2,836.20 is: 3,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.81 : 5,752.16 = 2,836.20 : x
  2. Step 2: Convert to fraction form
    4,164.81/5,752.16 = 2,836.20/x
  3. Step 3: Cross multiply
    4,164.81x = 5,752.16 × 2,836.20
  4. Step 4: Simplify right side
    4,164.81x = 16,314,276.19
  5. Step 5: Solve for x
    x = 16,314,276.19/4,164.81
  6. Step 6: Final answer
    x = 3,917.17

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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.