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Finding the Fourth Proportional to 3,899, 5,384.98 and 3,025.40

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Solution

The fourth proportional to 3,899, 5,384.98 and 3,025.40 is: 4,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,384.98 = 3,025.40 : x
  2. Step 2: Convert to fraction form
    3,899/5,384.98 = 3,025.40/x
  3. Step 3: Cross multiply
    3,899x = 5,384.98 × 3,025.40
  4. Step 4: Simplify right side
    3,899x = 16,291,718.49
  5. Step 5: Solve for x
    x = 16,291,718.49/3,899
  6. Step 6: Final answer
    x = 4,178.44

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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.