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Finding the Fourth Proportional to 4,908.60, 7,334.55 and 4,131

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Solution

The fourth proportional to 4,908.60, 7,334.55 and 4,131 is: 6,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.60 : 7,334.55 = 4,131 : x
  2. Step 2: Convert to fraction form
    4,908.60/7,334.55 = 4,131/x
  3. Step 3: Cross multiply
    4,908.60x = 7,334.55 × 4,131
  4. Step 4: Simplify right side
    4,908.60x = 30,299,026.05
  5. Step 5: Solve for x
    x = 30,299,026.05/4,908.60
  6. Step 6: Final answer
    x = 6,172.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.