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Finding the Fourth Proportional to 7,212, 9,952.57 and 3,900

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Solution

The fourth proportional to 7,212, 9,952.57 and 3,900 is: 5,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 9,952.57 = 3,900 : x
  2. Step 2: Convert to fraction form
    7,212/9,952.57 = 3,900/x
  3. Step 3: Cross multiply
    7,212x = 9,952.57 × 3,900
  4. Step 4: Simplify right side
    7,212x = 38,815,023
  5. Step 5: Solve for x
    x = 38,815,023/7,212
  6. Step 6: Final answer
    x = 5,382.01

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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.