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Finding the Fourth Proportional to 6,200.34, 8,556.39 and 3,405.66

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Solution

The fourth proportional to 6,200.34, 8,556.39 and 3,405.66 is: 4,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.34 : 8,556.39 = 3,405.66 : x
  2. Step 2: Convert to fraction form
    6,200.34/8,556.39 = 3,405.66/x
  3. Step 3: Cross multiply
    6,200.34x = 8,556.39 × 3,405.66
  4. Step 4: Simplify right side
    6,200.34x = 29,140,155.17
  5. Step 5: Solve for x
    x = 29,140,155.17/6,200.34
  6. Step 6: Final answer
    x = 4,699.77

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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.