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Finding the Fourth Proportional to 3,397.64, 5,092.14 and 1,549.76

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Solution

The fourth proportional to 3,397.64, 5,092.14 and 1,549.76 is: 2,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.64 : 5,092.14 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    3,397.64/5,092.14 = 1,549.76/x
  3. Step 3: Cross multiply
    3,397.64x = 5,092.14 × 1,549.76
  4. Step 4: Simplify right side
    3,397.64x = 7,891,594.89
  5. Step 5: Solve for x
    x = 7,891,594.89/3,397.64
  6. Step 6: Final answer
    x = 2,322.67

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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.