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Finding the Fourth Proportional to 4,212.46, 5,812.46 and 2,534.29

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Solution

The fourth proportional to 4,212.46, 5,812.46 and 2,534.29 is: 3,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.46 : 5,812.46 = 2,534.29 : x
  2. Step 2: Convert to fraction form
    4,212.46/5,812.46 = 2,534.29/x
  3. Step 3: Cross multiply
    4,212.46x = 5,812.46 × 2,534.29
  4. Step 4: Simplify right side
    4,212.46x = 14,730,441.55
  5. Step 5: Solve for x
    x = 14,730,441.55/4,212.46
  6. Step 6: Final answer
    x = 3,496.88

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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.