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Finding the Fourth Proportional to 3,829.01, 5,284.42 and 2,337.80

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Solution

The fourth proportional to 3,829.01, 5,284.42 and 2,337.80 is: 3,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.01 : 5,284.42 = 2,337.80 : x
  2. Step 2: Convert to fraction form
    3,829.01/5,284.42 = 2,337.80/x
  3. Step 3: Cross multiply
    3,829.01x = 5,284.42 × 2,337.80
  4. Step 4: Simplify right side
    3,829.01x = 12,353,917.08
  5. Step 5: Solve for x
    x = 12,353,917.08/3,829.01
  6. Step 6: Final answer
    x = 3,226.40

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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.