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Finding the Fourth Proportional to 6,164.40, 8,505.09 and 3,807.30

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Solution

The fourth proportional to 6,164.40, 8,505.09 and 3,807.30 is: 5,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.40 : 8,505.09 = 3,807.30 : x
  2. Step 2: Convert to fraction form
    6,164.40/8,505.09 = 3,807.30/x
  3. Step 3: Cross multiply
    6,164.40x = 8,505.09 × 3,807.30
  4. Step 4: Simplify right side
    6,164.40x = 32,381,429.16
  5. Step 5: Solve for x
    x = 32,381,429.16/6,164.40
  6. Step 6: Final answer
    x = 5,252.97

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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.