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Finding the Fourth Proportional to 4,716.93, 7,078.11 and 2,770.50

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Solution

The fourth proportional to 4,716.93, 7,078.11 and 2,770.50 is: 4,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.93 : 7,078.11 = 2,770.50 : x
  2. Step 2: Convert to fraction form
    4,716.93/7,078.11 = 2,770.50/x
  3. Step 3: Cross multiply
    4,716.93x = 7,078.11 × 2,770.50
  4. Step 4: Simplify right side
    4,716.93x = 19,609,903.76
  5. Step 5: Solve for x
    x = 19,609,903.76/4,716.93
  6. Step 6: Final answer
    x = 4,157.34

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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.