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Finding the Fourth Proportional to 3,884.76, 5,357.16 and 3,044.16

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Solution

The fourth proportional to 3,884.76, 5,357.16 and 3,044.16 is: 4,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.76 : 5,357.16 = 3,044.16 : x
  2. Step 2: Convert to fraction form
    3,884.76/5,357.16 = 3,044.16/x
  3. Step 3: Cross multiply
    3,884.76x = 5,357.16 × 3,044.16
  4. Step 4: Simplify right side
    3,884.76x = 16,308,052.19
  5. Step 5: Solve for x
    x = 16,308,052.19/3,884.76
  6. Step 6: Final answer
    x = 4,197.96

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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.