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Finding the Fourth Proportional to 3,886, 5,362.80 and 2,230

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Solution

The fourth proportional to 3,886, 5,362.80 and 2,230 is: 3,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886 : 5,362.80 = 2,230 : x
  2. Step 2: Convert to fraction form
    3,886/5,362.80 = 2,230/x
  3. Step 3: Cross multiply
    3,886x = 5,362.80 × 2,230
  4. Step 4: Simplify right side
    3,886x = 11,959,044
  5. Step 5: Solve for x
    x = 11,959,044/3,886
  6. Step 6: Final answer
    x = 3,077.47

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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.