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Finding the Fourth Proportional to 3,985.56, 5,938.29 and 3,762

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Solution

The fourth proportional to 3,985.56, 5,938.29 and 3,762 is: 5,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.56 : 5,938.29 = 3,762 : x
  2. Step 2: Convert to fraction form
    3,985.56/5,938.29 = 3,762/x
  3. Step 3: Cross multiply
    3,985.56x = 5,938.29 × 3,762
  4. Step 4: Simplify right side
    3,985.56x = 22,339,846.98
  5. Step 5: Solve for x
    x = 22,339,846.98/3,985.56
  6. Step 6: Final answer
    x = 5,605.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.