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Finding the Fourth Proportional to 6,090.78, 8,405.19 and 3,438.24

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Solution

The fourth proportional to 6,090.78, 8,405.19 and 3,438.24 is: 4,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.78 : 8,405.19 = 3,438.24 : x
  2. Step 2: Convert to fraction form
    6,090.78/8,405.19 = 3,438.24/x
  3. Step 3: Cross multiply
    6,090.78x = 8,405.19 × 3,438.24
  4. Step 4: Simplify right side
    6,090.78x = 28,899,062.26
  5. Step 5: Solve for x
    x = 28,899,062.26/6,090.78
  6. Step 6: Final answer
    x = 4,744.72

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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.