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Finding the Fourth Proportional to 3,985.01, 5,977.49 and 1,646.27

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Solution

The fourth proportional to 3,985.01, 5,977.49 and 1,646.27 is: 2,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.01 : 5,977.49 = 1,646.27 : x
  2. Step 2: Convert to fraction form
    3,985.01/5,977.49 = 1,646.27/x
  3. Step 3: Cross multiply
    3,985.01x = 5,977.49 × 1,646.27
  4. Step 4: Simplify right side
    3,985.01x = 9,840,569.17
  5. Step 5: Solve for x
    x = 9,840,569.17/3,985.01
  6. Step 6: Final answer
    x = 2,469.39

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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.