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Finding the Fourth Proportional to 3,692.54, 5,525.80 and 2,306.53

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Solution

The fourth proportional to 3,692.54, 5,525.80 and 2,306.53 is: 3,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.54 : 5,525.80 = 2,306.53 : x
  2. Step 2: Convert to fraction form
    3,692.54/5,525.80 = 2,306.53/x
  3. Step 3: Cross multiply
    3,692.54x = 5,525.80 × 2,306.53
  4. Step 4: Simplify right side
    3,692.54x = 12,745,437.59
  5. Step 5: Solve for x
    x = 12,745,437.59/3,692.54
  6. Step 6: Final answer
    x = 3,451.67

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1.5x scale

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.