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Finding the Fourth Proportional to 4,712.46, 7,071.12 and 2,114.88

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Solution

The fourth proportional to 4,712.46, 7,071.12 and 2,114.88 is: 3,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.46 : 7,071.12 = 2,114.88 : x
  2. Step 2: Convert to fraction form
    4,712.46/7,071.12 = 2,114.88/x
  3. Step 3: Cross multiply
    4,712.46x = 7,071.12 × 2,114.88
  4. Step 4: Simplify right side
    4,712.46x = 14,954,570.27
  5. Step 5: Solve for x
    x = 14,954,570.27/4,712.46
  6. Step 6: Final answer
    x = 3,173.41

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