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Finding the Fourth Proportional to 4,407.36, 6,611.04 and 1,942.16

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Solution

The fourth proportional to 4,407.36, 6,611.04 and 1,942.16 is: 2,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.36 : 6,611.04 = 1,942.16 : x
  2. Step 2: Convert to fraction form
    4,407.36/6,611.04 = 1,942.16/x
  3. Step 3: Cross multiply
    4,407.36x = 6,611.04 × 1,942.16
  4. Step 4: Simplify right side
    4,407.36x = 12,839,697.45
  5. Step 5: Solve for x
    x = 12,839,697.45/4,407.36
  6. Step 6: Final answer
    x = 2,913.24

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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.