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Finding the Fourth Proportional to 5,359.69, 8,039.60 and 1,464.10

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Solution

The fourth proportional to 5,359.69, 8,039.60 and 1,464.10 is: 2,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.69 : 8,039.60 = 1,464.10 : x
  2. Step 2: Convert to fraction form
    5,359.69/8,039.60 = 1,464.10/x
  3. Step 3: Cross multiply
    5,359.69x = 8,039.60 × 1,464.10
  4. Step 4: Simplify right side
    5,359.69x = 11,770,778.36
  5. Step 5: Solve for x
    x = 11,770,778.36/5,359.69
  6. Step 6: Final answer
    x = 2,196.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.