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Finding the Fourth Proportional to 3,971.99, 5,482.15 and 2,293.67

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Solution

The fourth proportional to 3,971.99, 5,482.15 and 2,293.67 is: 3,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.99 : 5,482.15 = 2,293.67 : x
  2. Step 2: Convert to fraction form
    3,971.99/5,482.15 = 2,293.67/x
  3. Step 3: Cross multiply
    3,971.99x = 5,482.15 × 2,293.67
  4. Step 4: Simplify right side
    3,971.99x = 12,574,250.96
  5. Step 5: Solve for x
    x = 12,574,250.96/3,971.99
  6. Step 6: Final answer
    x = 3,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.