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Finding the Fourth Proportional to 6,205.38, 8,564.49 and 4,214.58

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Solution

The fourth proportional to 6,205.38, 8,564.49 and 4,214.58 is: 5,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.38 : 8,564.49 = 4,214.58 : x
  2. Step 2: Convert to fraction form
    6,205.38/8,564.49 = 4,214.58/x
  3. Step 3: Cross multiply
    6,205.38x = 8,564.49 × 4,214.58
  4. Step 4: Simplify right side
    6,205.38x = 36,095,728.26
  5. Step 5: Solve for x
    x = 36,095,728.26/6,205.38
  6. Step 6: Final answer
    x = 5,816.84

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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.