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Finding the Fourth Proportional to 3,941.84, 5,942.66 and 3,730.16

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Solution

The fourth proportional to 3,941.84, 5,942.66 and 3,730.16 is: 5,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.84 : 5,942.66 = 3,730.16 : x
  2. Step 2: Convert to fraction form
    3,941.84/5,942.66 = 3,730.16/x
  3. Step 3: Cross multiply
    3,941.84x = 5,942.66 × 3,730.16
  4. Step 4: Simplify right side
    3,941.84x = 22,167,072.63
  5. Step 5: Solve for x
    x = 22,167,072.63/3,941.84
  6. Step 6: Final answer
    x = 5,623.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.