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Finding the Fourth Proportional to 6,235.26, 8,604 and 3,546.42

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Solution

The fourth proportional to 6,235.26, 8,604 and 3,546.42 is: 4,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.26 : 8,604 = 3,546.42 : x
  2. Step 2: Convert to fraction form
    6,235.26/8,604 = 3,546.42/x
  3. Step 3: Cross multiply
    6,235.26x = 8,604 × 3,546.42
  4. Step 4: Simplify right side
    6,235.26x = 30,513,397.68
  5. Step 5: Solve for x
    x = 30,513,397.68/6,235.26
  6. Step 6: Final answer
    x = 4,893.68

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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.