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Finding the Fourth Proportional to 4,775.76, 7,168.50 and 3,390.66

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Solution

The fourth proportional to 4,775.76, 7,168.50 and 3,390.66 is: 5,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 7,168.50 = 3,390.66 : x
  2. Step 2: Convert to fraction form
    4,775.76/7,168.50 = 3,390.66/x
  3. Step 3: Cross multiply
    4,775.76x = 7,168.50 × 3,390.66
  4. Step 4: Simplify right side
    4,775.76x = 24,305,946.21
  5. Step 5: Solve for x
    x = 24,305,946.21/4,775.76
  6. Step 6: Final answer
    x = 5,089.44

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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.