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Finding the Fourth Proportional to 6,108, 8,429.40 and 3,719.64

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Solution

The fourth proportional to 6,108, 8,429.40 and 3,719.64 is: 5,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108 : 8,429.40 = 3,719.64 : x
  2. Step 2: Convert to fraction form
    6,108/8,429.40 = 3,719.64/x
  3. Step 3: Cross multiply
    6,108x = 8,429.40 × 3,719.64
  4. Step 4: Simplify right side
    6,108x = 31,354,333.42
  5. Step 5: Solve for x
    x = 31,354,333.42/6,108
  6. Step 6: Final answer
    x = 5,133.32

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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.