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Finding the Fourth Proportional to 5,640.21, 8,475.64 and 3,009.55

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Solution

The fourth proportional to 5,640.21, 8,475.64 and 3,009.55 is: 4,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.21 : 8,475.64 = 3,009.55 : x
  2. Step 2: Convert to fraction form
    5,640.21/8,475.64 = 3,009.55/x
  3. Step 3: Cross multiply
    5,640.21x = 8,475.64 × 3,009.55
  4. Step 4: Simplify right side
    5,640.21x = 25,507,833.65
  5. Step 5: Solve for x
    x = 25,507,833.65/5,640.21
  6. Step 6: Final answer
    x = 4,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.