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Finding the Fourth Proportional to 5,506.83, 7,596.95 and 3,268.80

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Solution

The fourth proportional to 5,506.83, 7,596.95 and 3,268.80 is: 4,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.83 : 7,596.95 = 3,268.80 : x
  2. Step 2: Convert to fraction form
    5,506.83/7,596.95 = 3,268.80/x
  3. Step 3: Cross multiply
    5,506.83x = 7,596.95 × 3,268.80
  4. Step 4: Simplify right side
    5,506.83x = 24,832,893.82
  5. Step 5: Solve for x
    x = 24,832,893.82/5,506.83
  6. Step 6: Final answer
    x = 4,509.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.