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Finding the Fourth Proportional to 5,264.54, 7,264.87 and 2,906.63

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Solution

The fourth proportional to 5,264.54, 7,264.87 and 2,906.63 is: 4,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.54 : 7,264.87 = 2,906.63 : x
  2. Step 2: Convert to fraction form
    5,264.54/7,264.87 = 2,906.63/x
  3. Step 3: Cross multiply
    5,264.54x = 7,264.87 × 2,906.63
  4. Step 4: Simplify right side
    5,264.54x = 21,116,283.64
  5. Step 5: Solve for x
    x = 21,116,283.64/5,264.54
  6. Step 6: Final answer
    x = 4,011.04

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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.