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Finding the Fourth Proportional to 3,899.00, 5,380.64 and 2,130.65

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Solution

The fourth proportional to 3,899.00, 5,380.64 and 2,130.65 is: 2,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.00 : 5,380.64 = 2,130.65 : x
  2. Step 2: Convert to fraction form
    3,899.00/5,380.64 = 2,130.65/x
  3. Step 3: Cross multiply
    3,899.00x = 5,380.64 × 2,130.65
  4. Step 4: Simplify right side
    3,899.00x = 11,464,248.08
  5. Step 5: Solve for x
    x = 11,464,248.08/3,899.00
  6. Step 6: Final answer
    x = 2,940.30

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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.