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Finding the Fourth Proportional to 4,596.50, 6,343.20 and 2,500.64

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Solution

The fourth proportional to 4,596.50, 6,343.20 and 2,500.64 is: 3,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.50 : 6,343.20 = 2,500.64 : x
  2. Step 2: Convert to fraction form
    4,596.50/6,343.20 = 2,500.64/x
  3. Step 3: Cross multiply
    4,596.50x = 6,343.20 × 2,500.64
  4. Step 4: Simplify right side
    4,596.50x = 15,862,059.65
  5. Step 5: Solve for x
    x = 15,862,059.65/4,596.50
  6. Step 6: Final answer
    x = 3,450.90

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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.