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Finding the Fourth Proportional to 3,857.02, 5,325.06 and 2,971.12

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Solution

The fourth proportional to 3,857.02, 5,325.06 and 2,971.12 is: 4,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.02 : 5,325.06 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    3,857.02/5,325.06 = 2,971.12/x
  3. Step 3: Cross multiply
    3,857.02x = 5,325.06 × 2,971.12
  4. Step 4: Simplify right side
    3,857.02x = 15,821,392.27
  5. Step 5: Solve for x
    x = 15,821,392.27/3,857.02
  6. Step 6: Final answer
    x = 4,101.97

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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.