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Finding the Fourth Proportional to 4,384.10, 6,573.72 and 3,865.30

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Solution

The fourth proportional to 4,384.10, 6,573.72 and 3,865.30 is: 5,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.10 : 6,573.72 = 3,865.30 : x
  2. Step 2: Convert to fraction form
    4,384.10/6,573.72 = 3,865.30/x
  3. Step 3: Cross multiply
    4,384.10x = 6,573.72 × 3,865.30
  4. Step 4: Simplify right side
    4,384.10x = 25,409,399.92
  5. Step 5: Solve for x
    x = 25,409,399.92/4,384.10
  6. Step 6: Final answer
    x = 5,795.81

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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.