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Finding the Fourth Proportional to 3,802.56, 5,246.82 and 2,230.08

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Solution

The fourth proportional to 3,802.56, 5,246.82 and 2,230.08 is: 3,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.56 : 5,246.82 = 2,230.08 : x
  2. Step 2: Convert to fraction form
    3,802.56/5,246.82 = 2,230.08/x
  3. Step 3: Cross multiply
    3,802.56x = 5,246.82 × 2,230.08
  4. Step 4: Simplify right side
    3,802.56x = 11,700,828.35
  5. Step 5: Solve for x
    x = 11,700,828.35/3,802.56
  6. Step 6: Final answer
    x = 3,077.09

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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.