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Finding the Fourth Proportional to 5,692.57, 7,855.01 and 3,302.03

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Solution

The fourth proportional to 5,692.57, 7,855.01 and 3,302.03 is: 4,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.57 : 7,855.01 = 3,302.03 : x
  2. Step 2: Convert to fraction form
    5,692.57/7,855.01 = 3,302.03/x
  3. Step 3: Cross multiply
    5,692.57x = 7,855.01 × 3,302.03
  4. Step 4: Simplify right side
    5,692.57x = 25,937,506.56
  5. Step 5: Solve for x
    x = 25,937,506.56/5,692.57
  6. Step 6: Final answer
    x = 4,556.38

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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.