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Finding the Fourth Proportional to 4,777.76, 7,166.64 and 2,177.66

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Solution

The fourth proportional to 4,777.76, 7,166.64 and 2,177.66 is: 3,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.76 : 7,166.64 = 2,177.66 : x
  2. Step 2: Convert to fraction form
    4,777.76/7,166.64 = 2,177.66/x
  3. Step 3: Cross multiply
    4,777.76x = 7,166.64 × 2,177.66
  4. Step 4: Simplify right side
    4,777.76x = 15,606,505.26
  5. Step 5: Solve for x
    x = 15,606,505.26/4,777.76
  6. Step 6: Final answer
    x = 3,266.49

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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.