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Finding the Fourth Proportional to 3,983.57, 5,495.79 and 2,567.15

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Solution

The fourth proportional to 3,983.57, 5,495.79 and 2,567.15 is: 3,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.57 : 5,495.79 = 2,567.15 : x
  2. Step 2: Convert to fraction form
    3,983.57/5,495.79 = 2,567.15/x
  3. Step 3: Cross multiply
    3,983.57x = 5,495.79 × 2,567.15
  4. Step 4: Simplify right side
    3,983.57x = 14,108,489.82
  5. Step 5: Solve for x
    x = 14,108,489.82/3,983.57
  6. Step 6: Final answer
    x = 3,541.67

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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.