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Finding the Fourth Proportional to 3,878.96, 5,346.78 and 2,972.57

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Solution

The fourth proportional to 3,878.96, 5,346.78 and 2,972.57 is: 4,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.96 : 5,346.78 = 2,972.57 : x
  2. Step 2: Convert to fraction form
    3,878.96/5,346.78 = 2,972.57/x
  3. Step 3: Cross multiply
    3,878.96x = 5,346.78 × 2,972.57
  4. Step 4: Simplify right side
    3,878.96x = 15,893,677.82
  5. Step 5: Solve for x
    x = 15,893,677.82/3,878.96
  6. Step 6: Final answer
    x = 4,097.41

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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.