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Finding the Fourth Proportional to 4,861.76, 7,292.36 and 2,912.64

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Solution

The fourth proportional to 4,861.76, 7,292.36 and 2,912.64 is: 4,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.76 : 7,292.36 = 2,912.64 : x
  2. Step 2: Convert to fraction form
    4,861.76/7,292.36 = 2,912.64/x
  3. Step 3: Cross multiply
    4,861.76x = 7,292.36 × 2,912.64
  4. Step 4: Simplify right side
    4,861.76x = 21,240,019.43
  5. Step 5: Solve for x
    x = 21,240,019.43/4,861.76
  6. Step 6: Final answer
    x = 4,368.79

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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.