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Finding the Fourth Proportional to 4,912.10, 7,368 and 1,214.36

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Solution

The fourth proportional to 4,912.10, 7,368 and 1,214.36 is: 1,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.10 : 7,368 = 1,214.36 : x
  2. Step 2: Convert to fraction form
    4,912.10/7,368 = 1,214.36/x
  3. Step 3: Cross multiply
    4,912.10x = 7,368 × 1,214.36
  4. Step 4: Simplify right side
    4,912.10x = 8,947,404.48
  5. Step 5: Solve for x
    x = 8,947,404.48/4,912.10
  6. Step 6: Final answer
    x = 1,821.50

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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.