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Finding the Fourth Proportional to 3,104.70, 4,657.05 and 3,075.90

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Solution

The fourth proportional to 3,104.70, 4,657.05 and 3,075.90 is: 4,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.70 : 4,657.05 = 3,075.90 : x
  2. Step 2: Convert to fraction form
    3,104.70/4,657.05 = 3,075.90/x
  3. Step 3: Cross multiply
    3,104.70x = 4,657.05 × 3,075.90
  4. Step 4: Simplify right side
    3,104.70x = 14,324,620.10
  5. Step 5: Solve for x
    x = 14,324,620.10/3,104.70
  6. Step 6: Final answer
    x = 4,613.85

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Similar ratio
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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.