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Finding the Fourth Proportional to 6,200.52, 8,556.68 and 3,406

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Solution

The fourth proportional to 6,200.52, 8,556.68 and 3,406 is: 4,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.52 : 8,556.68 = 3,406 : x
  2. Step 2: Convert to fraction form
    6,200.52/8,556.68 = 3,406/x
  3. Step 3: Cross multiply
    6,200.52x = 8,556.68 × 3,406
  4. Step 4: Simplify right side
    6,200.52x = 29,144,052.08
  5. Step 5: Solve for x
    x = 29,144,052.08/6,200.52
  6. Step 6: Final answer
    x = 4,700.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.