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Finding the Fourth Proportional to 5,737.68, 8,609.04 and 4,450.32

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Solution

The fourth proportional to 5,737.68, 8,609.04 and 4,450.32 is: 6,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.68 : 8,609.04 = 4,450.32 : x
  2. Step 2: Convert to fraction form
    5,737.68/8,609.04 = 4,450.32/x
  3. Step 3: Cross multiply
    5,737.68x = 8,609.04 × 4,450.32
  4. Step 4: Simplify right side
    5,737.68x = 38,312,982.89
  5. Step 5: Solve for x
    x = 38,312,982.89/5,737.68
  6. Step 6: Final answer
    x = 6,677.43

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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.