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Finding the Fourth Proportional to 3,511.94, 5,268.09 and 1,564.16

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Solution

The fourth proportional to 3,511.94, 5,268.09 and 1,564.16 is: 2,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.94 : 5,268.09 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    3,511.94/5,268.09 = 1,564.16/x
  3. Step 3: Cross multiply
    3,511.94x = 5,268.09 × 1,564.16
  4. Step 4: Simplify right side
    3,511.94x = 8,240,135.65
  5. Step 5: Solve for x
    x = 8,240,135.65/3,511.94
  6. Step 6: Final answer
    x = 2,346.32

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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.