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Finding the Fourth Proportional to 3,745.40, 5,626.20 and 3,607.70

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Solution

The fourth proportional to 3,745.40, 5,626.20 and 3,607.70 is: 5,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.40 : 5,626.20 = 3,607.70 : x
  2. Step 2: Convert to fraction form
    3,745.40/5,626.20 = 3,607.70/x
  3. Step 3: Cross multiply
    3,745.40x = 5,626.20 × 3,607.70
  4. Step 4: Simplify right side
    3,745.40x = 20,297,641.74
  5. Step 5: Solve for x
    x = 20,297,641.74/3,745.40
  6. Step 6: Final answer
    x = 5,419.35

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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.