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Finding the Fourth Proportional to 4,588.65, 6,338.25 and 3,396.03

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Solution

The fourth proportional to 4,588.65, 6,338.25 and 3,396.03 is: 4,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.65 : 6,338.25 = 3,396.03 : x
  2. Step 2: Convert to fraction form
    4,588.65/6,338.25 = 3,396.03/x
  3. Step 3: Cross multiply
    4,588.65x = 6,338.25 × 3,396.03
  4. Step 4: Simplify right side
    4,588.65x = 21,524,863.38
  5. Step 5: Solve for x
    x = 21,524,863.38/4,588.65
  6. Step 6: Final answer
    x = 4,690.89

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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.