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Finding the Fourth Proportional to 5,571.74, 7,687.47 and 3,446.25

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Solution

The fourth proportional to 5,571.74, 7,687.47 and 3,446.25 is: 4,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.74 : 7,687.47 = 3,446.25 : x
  2. Step 2: Convert to fraction form
    5,571.74/7,687.47 = 3,446.25/x
  3. Step 3: Cross multiply
    5,571.74x = 7,687.47 × 3,446.25
  4. Step 4: Simplify right side
    5,571.74x = 26,492,970.82
  5. Step 5: Solve for x
    x = 26,492,970.82/5,571.74
  6. Step 6: Final answer
    x = 4,754.88

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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.