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Finding the Fourth Proportional to 5,573.96, 7,692.16 and 3,056.04

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Solution

The fourth proportional to 5,573.96, 7,692.16 and 3,056.04 is: 4,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.96 : 7,692.16 = 3,056.04 : x
  2. Step 2: Convert to fraction form
    5,573.96/7,692.16 = 3,056.04/x
  3. Step 3: Cross multiply
    5,573.96x = 7,692.16 × 3,056.04
  4. Step 4: Simplify right side
    5,573.96x = 23,507,548.65
  5. Step 5: Solve for x
    x = 23,507,548.65/5,573.96
  6. Step 6: Final answer
    x = 4,217.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.