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Finding the Fourth Proportional to 6,338.99, 8,747.65 and 3,506.29

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Solution

The fourth proportional to 6,338.99, 8,747.65 and 3,506.29 is: 4,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.99 : 8,747.65 = 3,506.29 : x
  2. Step 2: Convert to fraction form
    6,338.99/8,747.65 = 3,506.29/x
  3. Step 3: Cross multiply
    6,338.99x = 8,747.65 × 3,506.29
  4. Step 4: Simplify right side
    6,338.99x = 30,671,760.51
  5. Step 5: Solve for x
    x = 30,671,760.51/6,338.99
  6. Step 6: Final answer
    x = 4,838.59

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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.