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Finding the Fourth Proportional to 3,857.48, 5,785.92 and 1,084

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Solution

The fourth proportional to 3,857.48, 5,785.92 and 1,084 is: 1,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.48 : 5,785.92 = 1,084 : x
  2. Step 2: Convert to fraction form
    3,857.48/5,785.92 = 1,084/x
  3. Step 3: Cross multiply
    3,857.48x = 5,785.92 × 1,084
  4. Step 4: Simplify right side
    3,857.48x = 6,271,937.28
  5. Step 5: Solve for x
    x = 6,271,937.28/3,857.48
  6. Step 6: Final answer
    x = 1,625.92

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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.