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Finding the Fourth Proportional to 6,090.24, 8,404.92 and 3,436.68

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Solution

The fourth proportional to 6,090.24, 8,404.92 and 3,436.68 is: 4,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.24 : 8,404.92 = 3,436.68 : x
  2. Step 2: Convert to fraction form
    6,090.24/8,404.92 = 3,436.68/x
  3. Step 3: Cross multiply
    6,090.24x = 8,404.92 × 3,436.68
  4. Step 4: Simplify right side
    6,090.24x = 28,885,020.47
  5. Step 5: Solve for x
    x = 28,885,020.47/6,090.24
  6. Step 6: Final answer
    x = 4,742.84

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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.