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Finding the Fourth Proportional to 5,563.46, 8,346 and 1,864.86

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Solution

The fourth proportional to 5,563.46, 8,346 and 1,864.86 is: 2,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.46 : 8,346 = 1,864.86 : x
  2. Step 2: Convert to fraction form
    5,563.46/8,346 = 1,864.86/x
  3. Step 3: Cross multiply
    5,563.46x = 8,346 × 1,864.86
  4. Step 4: Simplify right side
    5,563.46x = 15,564,121.56
  5. Step 5: Solve for x
    x = 15,564,121.56/5,563.46
  6. Step 6: Final answer
    x = 2,797.56

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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.