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Finding the Fourth Proportional to 4,517.66, 6,779.64 and 1,596.08

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Solution

The fourth proportional to 4,517.66, 6,779.64 and 1,596.08 is: 2,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.66 : 6,779.64 = 1,596.08 : x
  2. Step 2: Convert to fraction form
    4,517.66/6,779.64 = 1,596.08/x
  3. Step 3: Cross multiply
    4,517.66x = 6,779.64 × 1,596.08
  4. Step 4: Simplify right side
    4,517.66x = 10,820,847.81
  5. Step 5: Solve for x
    x = 10,820,847.81/4,517.66
  6. Step 6: Final answer
    x = 2,395.23

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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.