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Finding the Fourth Proportional to 4,900.17, 6,762.04 and 2,662

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Solution

The fourth proportional to 4,900.17, 6,762.04 and 2,662 is: 3,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.17 : 6,762.04 = 2,662 : x
  2. Step 2: Convert to fraction form
    4,900.17/6,762.04 = 2,662/x
  3. Step 3: Cross multiply
    4,900.17x = 6,762.04 × 2,662
  4. Step 4: Simplify right side
    4,900.17x = 18,000,550.48
  5. Step 5: Solve for x
    x = 18,000,550.48/4,900.17
  6. Step 6: Final answer
    x = 3,673.45

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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.