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Finding the Fourth Proportional to 3,737.77, 5,607.34 and 1,546.67

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Solution

The fourth proportional to 3,737.77, 5,607.34 and 1,546.67 is: 2,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.77 : 5,607.34 = 1,546.67 : x
  2. Step 2: Convert to fraction form
    3,737.77/5,607.34 = 1,546.67/x
  3. Step 3: Cross multiply
    3,737.77x = 5,607.34 × 1,546.67
  4. Step 4: Simplify right side
    3,737.77x = 8,672,704.56
  5. Step 5: Solve for x
    x = 8,672,704.56/3,737.77
  6. Step 6: Final answer
    x = 2,320.29

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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.