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Finding the Fourth Proportional to 5,731.52, 7,913.18 and 3,609.94

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Solution

The fourth proportional to 5,731.52, 7,913.18 and 3,609.94 is: 4,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.52 : 7,913.18 = 3,609.94 : x
  2. Step 2: Convert to fraction form
    5,731.52/7,913.18 = 3,609.94/x
  3. Step 3: Cross multiply
    5,731.52x = 7,913.18 × 3,609.94
  4. Step 4: Simplify right side
    5,731.52x = 28,566,105.01
  5. Step 5: Solve for x
    x = 28,566,105.01/5,731.52
  6. Step 6: Final answer
    x = 4,984.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.