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Finding the Fourth Proportional to 3,513.68, 5,269.56 and 1,779.92

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Solution

The fourth proportional to 3,513.68, 5,269.56 and 1,779.92 is: 2,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.68 : 5,269.56 = 1,779.92 : x
  2. Step 2: Convert to fraction form
    3,513.68/5,269.56 = 1,779.92/x
  3. Step 3: Cross multiply
    3,513.68x = 5,269.56 × 1,779.92
  4. Step 4: Simplify right side
    3,513.68x = 9,379,395.24
  5. Step 5: Solve for x
    x = 9,379,395.24/3,513.68
  6. Step 6: Final answer
    x = 2,669.39

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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.