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Finding the Fourth Proportional to 7,254, 10,010.52 and 3,942

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Solution

The fourth proportional to 7,254, 10,010.52 and 3,942 is: 5,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254 : 10,010.52 = 3,942 : x
  2. Step 2: Convert to fraction form
    7,254/10,010.52 = 3,942/x
  3. Step 3: Cross multiply
    7,254x = 10,010.52 × 3,942
  4. Step 4: Simplify right side
    7,254x = 39,461,469.84
  5. Step 5: Solve for x
    x = 39,461,469.84/7,254
  6. Step 6: Final answer
    x = 5,439.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.