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Finding the Fourth Proportional to 5,731.92, 8,609.40 and 5,009.04

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Solution

The fourth proportional to 5,731.92, 8,609.40 and 5,009.04 is: 7,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.92 : 8,609.40 = 5,009.04 : x
  2. Step 2: Convert to fraction form
    5,731.92/8,609.40 = 5,009.04/x
  3. Step 3: Cross multiply
    5,731.92x = 8,609.40 × 5,009.04
  4. Step 4: Simplify right side
    5,731.92x = 43,124,828.98
  5. Step 5: Solve for x
    x = 43,124,828.98/5,731.92
  6. Step 6: Final answer
    x = 7,523.63

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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.