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Finding the Fourth Proportional to 5,359.68, 8,039.27 and 1,464.08

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Solution

The fourth proportional to 5,359.68, 8,039.27 and 1,464.08 is: 2,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.68 : 8,039.27 = 1,464.08 : x
  2. Step 2: Convert to fraction form
    5,359.68/8,039.27 = 1,464.08/x
  3. Step 3: Cross multiply
    5,359.68x = 8,039.27 × 1,464.08
  4. Step 4: Simplify right side
    5,359.68x = 11,770,097.89
  5. Step 5: Solve for x
    x = 11,770,097.89/5,359.68
  6. Step 6: Final answer
    x = 2,196.04

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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.