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Finding the Fourth Proportional to 3,982.17, 5,492.84 and 2,567.67

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Solution

The fourth proportional to 3,982.17, 5,492.84 and 2,567.67 is: 3,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.17 : 5,492.84 = 2,567.67 : x
  2. Step 2: Convert to fraction form
    3,982.17/5,492.84 = 2,567.67/x
  3. Step 3: Cross multiply
    3,982.17x = 5,492.84 × 2,567.67
  4. Step 4: Simplify right side
    3,982.17x = 14,103,779.44
  5. Step 5: Solve for x
    x = 14,103,779.44/3,982.17
  6. Step 6: Final answer
    x = 3,541.74

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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.