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Finding the Fourth Proportional to 5,964.97, 8,239.40 and 4,540.00

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Solution

The fourth proportional to 5,964.97, 8,239.40 and 4,540.00 is: 6,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.97 : 8,239.40 = 4,540.00 : x
  2. Step 2: Convert to fraction form
    5,964.97/8,239.40 = 4,540.00/x
  3. Step 3: Cross multiply
    5,964.97x = 8,239.40 × 4,540.00
  4. Step 4: Simplify right side
    5,964.97x = 37,406,866.75
  5. Step 5: Solve for x
    x = 37,406,866.75/5,964.97
  6. Step 6: Final answer
    x = 6,271.09

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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.