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Finding the Fourth Proportional to 5,164.61, 7,748.00 and 2,698.77

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Solution

The fourth proportional to 5,164.61, 7,748.00 and 2,698.77 is: 4,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.61 : 7,748.00 = 2,698.77 : x
  2. Step 2: Convert to fraction form
    5,164.61/7,748.00 = 2,698.77/x
  3. Step 3: Cross multiply
    5,164.61x = 7,748.00 × 2,698.77
  4. Step 4: Simplify right side
    5,164.61x = 20,910,067.24
  5. Step 5: Solve for x
    x = 20,910,067.24/5,164.61
  6. Step 6: Final answer
    x = 4,048.72

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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.