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Finding the Fourth Proportional to 5,254.90, 7,252.14 and 2,897.44

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Solution

The fourth proportional to 5,254.90, 7,252.14 and 2,897.44 is: 3,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.90 : 7,252.14 = 2,897.44 : x
  2. Step 2: Convert to fraction form
    5,254.90/7,252.14 = 2,897.44/x
  3. Step 3: Cross multiply
    5,254.90x = 7,252.14 × 2,897.44
  4. Step 4: Simplify right side
    5,254.90x = 21,012,640.52
  5. Step 5: Solve for x
    x = 21,012,640.52/5,254.90
  6. Step 6: Final answer
    x = 3,998.68

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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.