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Finding the Fourth Proportional to 5,692.10, 8,538.46 and 1,532.20

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Solution

The fourth proportional to 5,692.10, 8,538.46 and 1,532.20 is: 2,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.10 : 8,538.46 = 1,532.20 : x
  2. Step 2: Convert to fraction form
    5,692.10/8,538.46 = 1,532.20/x
  3. Step 3: Cross multiply
    5,692.10x = 8,538.46 × 1,532.20
  4. Step 4: Simplify right side
    5,692.10x = 13,082,628.41
  5. Step 5: Solve for x
    x = 13,082,628.41/5,692.10
  6. Step 6: Final answer
    x = 2,298.38

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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.