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Finding the Fourth Proportional to 5,263.14, 7,262.82 and 2,905.28

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Solution

The fourth proportional to 5,263.14, 7,262.82 and 2,905.28 is: 4,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.14 : 7,262.82 = 2,905.28 : x
  2. Step 2: Convert to fraction form
    5,263.14/7,262.82 = 2,905.28/x
  3. Step 3: Cross multiply
    5,263.14x = 7,262.82 × 2,905.28
  4. Step 4: Simplify right side
    5,263.14x = 21,100,489.38
  5. Step 5: Solve for x
    x = 21,100,489.38/5,263.14
  6. Step 6: Final answer
    x = 4,009.11

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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.