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Finding the Fourth Proportional to 3,747.06, 5,626.26 and 2,292.30

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Solution

The fourth proportional to 3,747.06, 5,626.26 and 2,292.30 is: 3,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.06 : 5,626.26 = 2,292.30 : x
  2. Step 2: Convert to fraction form
    3,747.06/5,626.26 = 2,292.30/x
  3. Step 3: Cross multiply
    3,747.06x = 5,626.26 × 2,292.30
  4. Step 4: Simplify right side
    3,747.06x = 12,897,075.80
  5. Step 5: Solve for x
    x = 12,897,075.80/3,747.06
  6. Step 6: Final answer
    x = 3,441.92

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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.