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Finding the Fourth Proportional to 5,264.25, 7,264.68 and 2,906.37

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Solution

The fourth proportional to 5,264.25, 7,264.68 and 2,906.37 is: 4,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.25 : 7,264.68 = 2,906.37 : x
  2. Step 2: Convert to fraction form
    5,264.25/7,264.68 = 2,906.37/x
  3. Step 3: Cross multiply
    5,264.25x = 7,264.68 × 2,906.37
  4. Step 4: Simplify right side
    5,264.25x = 21,113,848.01
  5. Step 5: Solve for x
    x = 21,113,848.01/5,264.25
  6. Step 6: Final answer
    x = 4,010.80

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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.