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Finding the Fourth Proportional to 4,492.34, 6,738.76 and 1,372.82

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Solution

The fourth proportional to 4,492.34, 6,738.76 and 1,372.82 is: 2,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.34 : 6,738.76 = 1,372.82 : x
  2. Step 2: Convert to fraction form
    4,492.34/6,738.76 = 1,372.82/x
  3. Step 3: Cross multiply
    4,492.34x = 6,738.76 × 1,372.82
  4. Step 4: Simplify right side
    4,492.34x = 9,251,104.50
  5. Step 5: Solve for x
    x = 9,251,104.50/4,492.34
  6. Step 6: Final answer
    x = 2,059.31

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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.