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Finding the Fourth Proportional to 4,775.82, 7,160.94 and 1,814.46

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Solution

The fourth proportional to 4,775.82, 7,160.94 and 1,814.46 is: 2,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.82 : 7,160.94 = 1,814.46 : x
  2. Step 2: Convert to fraction form
    4,775.82/7,160.94 = 1,814.46/x
  3. Step 3: Cross multiply
    4,775.82x = 7,160.94 × 1,814.46
  4. Step 4: Simplify right side
    4,775.82x = 12,993,239.19
  5. Step 5: Solve for x
    x = 12,993,239.19/4,775.82
  6. Step 6: Final answer
    x = 2,720.63

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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.