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Finding the Fourth Proportional to 5,254.97, 7,252.16 and 2,897.10

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Solution

The fourth proportional to 5,254.97, 7,252.16 and 2,897.10 is: 3,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.97 : 7,252.16 = 2,897.10 : x
  2. Step 2: Convert to fraction form
    5,254.97/7,252.16 = 2,897.10/x
  3. Step 3: Cross multiply
    5,254.97x = 7,252.16 × 2,897.10
  4. Step 4: Simplify right side
    5,254.97x = 21,010,218.25
  5. Step 5: Solve for x
    x = 21,010,218.25/5,254.97
  6. Step 6: Final answer
    x = 3,998.17

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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.