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Finding the Fourth Proportional to 5,264.14, 7,264.74 and 2,906.23

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Solution

The fourth proportional to 5,264.14, 7,264.74 and 2,906.23 is: 4,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.14 : 7,264.74 = 2,906.23 : x
  2. Step 2: Convert to fraction form
    5,264.14/7,264.74 = 2,906.23/x
  3. Step 3: Cross multiply
    5,264.14x = 7,264.74 × 2,906.23
  4. Step 4: Simplify right side
    5,264.14x = 21,113,005.33
  5. Step 5: Solve for x
    x = 21,113,005.33/5,264.14
  6. Step 6: Final answer
    x = 4,010.72

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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.