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Finding the Fourth Proportional to 3,511.96, 5,268.78 and 1,564.60

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Solution

The fourth proportional to 3,511.96, 5,268.78 and 1,564.60 is: 2,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.96 : 5,268.78 = 1,564.60 : x
  2. Step 2: Convert to fraction form
    3,511.96/5,268.78 = 1,564.60/x
  3. Step 3: Cross multiply
    3,511.96x = 5,268.78 × 1,564.60
  4. Step 4: Simplify right side
    3,511.96x = 8,243,533.19
  5. Step 5: Solve for x
    x = 8,243,533.19/3,511.96
  6. Step 6: Final answer
    x = 2,347.27

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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.