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Finding the Fourth Proportional to 3,473.68, 5,208.46 and 1,394.67

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Solution

The fourth proportional to 3,473.68, 5,208.46 and 1,394.67 is: 2,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.68 : 5,208.46 = 1,394.67 : x
  2. Step 2: Convert to fraction form
    3,473.68/5,208.46 = 1,394.67/x
  3. Step 3: Cross multiply
    3,473.68x = 5,208.46 × 1,394.67
  4. Step 4: Simplify right side
    3,473.68x = 7,264,082.91
  5. Step 5: Solve for x
    x = 7,264,082.91/3,473.68
  6. Step 6: Final answer
    x = 2,091.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.