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Finding the Fourth Proportional to 5,740.50, 8,609.51 and 1,845.22

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Solution

The fourth proportional to 5,740.50, 8,609.51 and 1,845.22 is: 2,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.50 : 8,609.51 = 1,845.22 : x
  2. Step 2: Convert to fraction form
    5,740.50/8,609.51 = 1,845.22/x
  3. Step 3: Cross multiply
    5,740.50x = 8,609.51 × 1,845.22
  4. Step 4: Simplify right side
    5,740.50x = 15,886,440.04
  5. Step 5: Solve for x
    x = 15,886,440.04/5,740.50
  6. Step 6: Final answer
    x = 2,767.43

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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.