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Finding the Fourth Proportional to 3,945.64, 5,918.43 and 1,637.14

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Solution

The fourth proportional to 3,945.64, 5,918.43 and 1,637.14 is: 2,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.64 : 5,918.43 = 1,637.14 : x
  2. Step 2: Convert to fraction form
    3,945.64/5,918.43 = 1,637.14/x
  3. Step 3: Cross multiply
    3,945.64x = 5,918.43 × 1,637.14
  4. Step 4: Simplify right side
    3,945.64x = 9,689,298.49
  5. Step 5: Solve for x
    x = 9,689,298.49/3,945.64
  6. Step 6: Final answer
    x = 2,455.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.