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Finding the Fourth Proportional to 5,690.40, 8,534.88 and 1,795.20

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Solution

The fourth proportional to 5,690.40, 8,534.88 and 1,795.20 is: 2,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.40 : 8,534.88 = 1,795.20 : x
  2. Step 2: Convert to fraction form
    5,690.40/8,534.88 = 1,795.20/x
  3. Step 3: Cross multiply
    5,690.40x = 8,534.88 × 1,795.20
  4. Step 4: Simplify right side
    5,690.40x = 15,321,816.58
  5. Step 5: Solve for x
    x = 15,321,816.58/5,690.40
  6. Step 6: Final answer
    x = 2,692.57

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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.