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Finding the Fourth Proportional to 5,692.40, 8,537.88 and 1,797.20

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Solution

The fourth proportional to 5,692.40, 8,537.88 and 1,797.20 is: 2,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.40 : 8,537.88 = 1,797.20 : x
  2. Step 2: Convert to fraction form
    5,692.40/8,537.88 = 1,797.20/x
  3. Step 3: Cross multiply
    5,692.40x = 8,537.88 × 1,797.20
  4. Step 4: Simplify right side
    5,692.40x = 15,344,277.94
  5. Step 5: Solve for x
    x = 15,344,277.94/5,692.40
  6. Step 6: Final answer
    x = 2,695.57

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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.