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Finding the Fourth Proportional to 3,715.64, 5,573.46 and 1,523.87

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Solution

The fourth proportional to 3,715.64, 5,573.46 and 1,523.87 is: 2,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.64 : 5,573.46 = 1,523.87 : x
  2. Step 2: Convert to fraction form
    3,715.64/5,573.46 = 1,523.87/x
  3. Step 3: Cross multiply
    3,715.64x = 5,573.46 × 1,523.87
  4. Step 4: Simplify right side
    3,715.64x = 8,493,228.49
  5. Step 5: Solve for x
    x = 8,493,228.49/3,715.64
  6. Step 6: Final answer
    x = 2,285.81

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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.