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Finding the Fourth Proportional to 3,405.96, 5,106.62 and 1,184.22

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Solution

The fourth proportional to 3,405.96, 5,106.62 and 1,184.22 is: 1,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.96 : 5,106.62 = 1,184.22 : x
  2. Step 2: Convert to fraction form
    3,405.96/5,106.62 = 1,184.22/x
  3. Step 3: Cross multiply
    3,405.96x = 5,106.62 × 1,184.22
  4. Step 4: Simplify right side
    3,405.96x = 6,047,361.54
  5. Step 5: Solve for x
    x = 6,047,361.54/3,405.96
  6. Step 6: Final answer
    x = 1,775.52

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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.