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Finding the Fourth Proportional to 5,673.90, 7,829.46 and 4,182.64

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Solution

The fourth proportional to 5,673.90, 7,829.46 and 4,182.64 is: 5,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.90 : 7,829.46 = 4,182.64 : x
  2. Step 2: Convert to fraction form
    5,673.90/7,829.46 = 4,182.64/x
  3. Step 3: Cross multiply
    5,673.90x = 7,829.46 × 4,182.64
  4. Step 4: Simplify right side
    5,673.90x = 32,747,793.00
  5. Step 5: Solve for x
    x = 32,747,793.00/5,673.90
  6. Step 6: Final answer
    x = 5,771.66

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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.