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Finding the Fourth Proportional to 6,135.05, 8,466.10 and 3,409.40

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Solution

The fourth proportional to 6,135.05, 8,466.10 and 3,409.40 is: 4,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.05 : 8,466.10 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    6,135.05/8,466.10 = 3,409.40/x
  3. Step 3: Cross multiply
    6,135.05x = 8,466.10 × 3,409.40
  4. Step 4: Simplify right side
    6,135.05x = 28,864,333.98
  5. Step 5: Solve for x
    x = 28,864,333.98/6,135.05
  6. Step 6: Final answer
    x = 4,704.82

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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.