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Finding the Fourth Proportional to 5,264.97, 7,265.64 and 2,907.10

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Solution

The fourth proportional to 5,264.97, 7,265.64 and 2,907.10 is: 4,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.97 : 7,265.64 = 2,907.10 : x
  2. Step 2: Convert to fraction form
    5,264.97/7,265.64 = 2,907.10/x
  3. Step 3: Cross multiply
    5,264.97x = 7,265.64 × 2,907.10
  4. Step 4: Simplify right side
    5,264.97x = 21,121,923.88
  5. Step 5: Solve for x
    x = 21,121,923.88/5,264.97
  6. Step 6: Final answer
    x = 4,011.78

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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.