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Finding the Fourth Proportional to 4,908.76, 7,363.76 and 1,446.02

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Solution

The fourth proportional to 4,908.76, 7,363.76 and 1,446.02 is: 2,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.76 : 7,363.76 = 1,446.02 : x
  2. Step 2: Convert to fraction form
    4,908.76/7,363.76 = 1,446.02/x
  3. Step 3: Cross multiply
    4,908.76x = 7,363.76 × 1,446.02
  4. Step 4: Simplify right side
    4,908.76x = 10,648,144.24
  5. Step 5: Solve for x
    x = 10,648,144.24/4,908.76
  6. Step 6: Final answer
    x = 2,169.21

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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.