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Finding the Fourth Proportional to 5,525.38, 7,624.80 and 3,165.88

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Solution

The fourth proportional to 5,525.38, 7,624.80 and 3,165.88 is: 4,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.38 : 7,624.80 = 3,165.88 : x
  2. Step 2: Convert to fraction form
    5,525.38/7,624.80 = 3,165.88/x
  3. Step 3: Cross multiply
    5,525.38x = 7,624.80 × 3,165.88
  4. Step 4: Simplify right side
    5,525.38x = 24,139,201.82
  5. Step 5: Solve for x
    x = 24,139,201.82/5,525.38
  6. Step 6: Final answer
    x = 4,368.79

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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.