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Finding the Fourth Proportional to 5,597.68, 8,393.76 and 1,898.56

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Solution

The fourth proportional to 5,597.68, 8,393.76 and 1,898.56 is: 2,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.68 : 8,393.76 = 1,898.56 : x
  2. Step 2: Convert to fraction form
    5,597.68/8,393.76 = 1,898.56/x
  3. Step 3: Cross multiply
    5,597.68x = 8,393.76 × 1,898.56
  4. Step 4: Simplify right side
    5,597.68x = 15,936,056.99
  5. Step 5: Solve for x
    x = 15,936,056.99/5,597.68
  6. Step 6: Final answer
    x = 2,846.90

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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.