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Finding the Fourth Proportional to 3,497.27, 4,825.06 and 2,376.27

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Solution

The fourth proportional to 3,497.27, 4,825.06 and 2,376.27 is: 3,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.27 : 4,825.06 = 2,376.27 : x
  2. Step 2: Convert to fraction form
    3,497.27/4,825.06 = 2,376.27/x
  3. Step 3: Cross multiply
    3,497.27x = 4,825.06 × 2,376.27
  4. Step 4: Simplify right side
    3,497.27x = 11,465,639.39
  5. Step 5: Solve for x
    x = 11,465,639.39/3,497.27
  6. Step 6: Final answer
    x = 3,278.46

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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.