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Finding the Fourth Proportional to 5,692.60, 8,538.42 and 3,219.64

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Solution

The fourth proportional to 5,692.60, 8,538.42 and 3,219.64 is: 4,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 8,538.42 = 3,219.64 : x
  2. Step 2: Convert to fraction form
    5,692.60/8,538.42 = 3,219.64/x
  3. Step 3: Cross multiply
    5,692.60x = 8,538.42 × 3,219.64
  4. Step 4: Simplify right side
    5,692.60x = 27,490,638.57
  5. Step 5: Solve for x
    x = 27,490,638.57/5,692.60
  6. Step 6: Final answer
    x = 4,829.19

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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.