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Finding the Fourth Proportional to 4,942.55, 7,407.42 and 3,700.22

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Solution

The fourth proportional to 4,942.55, 7,407.42 and 3,700.22 is: 5,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.55 : 7,407.42 = 3,700.22 : x
  2. Step 2: Convert to fraction form
    4,942.55/7,407.42 = 3,700.22/x
  3. Step 3: Cross multiply
    4,942.55x = 7,407.42 × 3,700.22
  4. Step 4: Simplify right side
    4,942.55x = 27,409,083.63
  5. Step 5: Solve for x
    x = 27,409,083.63/4,942.55
  6. Step 6: Final answer
    x = 5,545.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.