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Finding the Fourth Proportional to 5,254.30, 7,251 and 2,896.42

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Solution

The fourth proportional to 5,254.30, 7,251 and 2,896.42 is: 3,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.30 : 7,251 = 2,896.42 : x
  2. Step 2: Convert to fraction form
    5,254.30/7,251 = 2,896.42/x
  3. Step 3: Cross multiply
    5,254.30x = 7,251 × 2,896.42
  4. Step 4: Simplify right side
    5,254.30x = 21,001,941.42
  5. Step 5: Solve for x
    x = 21,001,941.42/5,254.30
  6. Step 6: Final answer
    x = 3,997.10

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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.