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Finding the Fourth Proportional to 5,784.62, 8,691.20 and 3,705.45

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Solution

The fourth proportional to 5,784.62, 8,691.20 and 3,705.45 is: 5,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.62 : 8,691.20 = 3,705.45 : x
  2. Step 2: Convert to fraction form
    5,784.62/8,691.20 = 3,705.45/x
  3. Step 3: Cross multiply
    5,784.62x = 8,691.20 × 3,705.45
  4. Step 4: Simplify right side
    5,784.62x = 32,204,769.82
  5. Step 5: Solve for x
    x = 32,204,769.82/5,784.62
  6. Step 6: Final answer
    x = 5,567.31

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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.