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Finding the Fourth Proportional to 4,806.53, 7,200.44 and 3,158.07

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Solution

The fourth proportional to 4,806.53, 7,200.44 and 3,158.07 is: 4,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.53 : 7,200.44 = 3,158.07 : x
  2. Step 2: Convert to fraction form
    4,806.53/7,200.44 = 3,158.07/x
  3. Step 3: Cross multiply
    4,806.53x = 7,200.44 × 3,158.07
  4. Step 4: Simplify right side
    4,806.53x = 22,739,493.55
  5. Step 5: Solve for x
    x = 22,739,493.55/4,806.53
  6. Step 6: Final answer
    x = 4,730.96

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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.