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Finding the Fourth Proportional to 3,985, 5,977.42 and 2,425.43

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Solution

The fourth proportional to 3,985, 5,977.42 and 2,425.43 is: 3,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985 : 5,977.42 = 2,425.43 : x
  2. Step 2: Convert to fraction form
    3,985/5,977.42 = 2,425.43/x
  3. Step 3: Cross multiply
    3,985x = 5,977.42 × 2,425.43
  4. Step 4: Simplify right side
    3,985x = 14,497,813.79
  5. Step 5: Solve for x
    x = 14,497,813.79/3,985
  6. Step 6: Final answer
    x = 3,638.10

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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.