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Finding the Fourth Proportional to 3,914.73, 5,402.32 and 2,146.45

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Solution

The fourth proportional to 3,914.73, 5,402.32 and 2,146.45 is: 2,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.73 : 5,402.32 = 2,146.45 : x
  2. Step 2: Convert to fraction form
    3,914.73/5,402.32 = 2,146.45/x
  3. Step 3: Cross multiply
    3,914.73x = 5,402.32 × 2,146.45
  4. Step 4: Simplify right side
    3,914.73x = 11,595,813.10
  5. Step 5: Solve for x
    x = 11,595,813.10/3,914.73
  6. Step 6: Final answer
    x = 2,962.10

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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.