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Finding the Fourth Proportional to 3,982.04, 5,492.67 and 2,567.54

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Solution

The fourth proportional to 3,982.04, 5,492.67 and 2,567.54 is: 3,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.04 : 5,492.67 = 2,567.54 : x
  2. Step 2: Convert to fraction form
    3,982.04/5,492.67 = 2,567.54/x
  3. Step 3: Cross multiply
    3,982.04x = 5,492.67 × 2,567.54
  4. Step 4: Simplify right side
    3,982.04x = 14,102,649.93
  5. Step 5: Solve for x
    x = 14,102,649.93/3,982.04
  6. Step 6: Final answer
    x = 3,541.56

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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.