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Finding the Fourth Proportional to 3,624, 5,001.14 and 1,968

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Solution

The fourth proportional to 3,624, 5,001.14 and 1,968 is: 2,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 5,001.14 = 1,968 : x
  2. Step 2: Convert to fraction form
    3,624/5,001.14 = 1,968/x
  3. Step 3: Cross multiply
    3,624x = 5,001.14 × 1,968
  4. Step 4: Simplify right side
    3,624x = 9,842,243.52
  5. Step 5: Solve for x
    x = 9,842,243.52/3,624
  6. Step 6: Final answer
    x = 2,715.85

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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.