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Finding the Fourth Proportional to 5,239.94, 7,859.80 and 1,542.08

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Solution

The fourth proportional to 5,239.94, 7,859.80 and 1,542.08 is: 2,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.94 : 7,859.80 = 1,542.08 : x
  2. Step 2: Convert to fraction form
    5,239.94/7,859.80 = 1,542.08/x
  3. Step 3: Cross multiply
    5,239.94x = 7,859.80 × 1,542.08
  4. Step 4: Simplify right side
    5,239.94x = 12,120,440.38
  5. Step 5: Solve for x
    x = 12,120,440.38/5,239.94
  6. Step 6: Final answer
    x = 2,313.09

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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.