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Finding the Fourth Proportional to 4,917.14, 7,378.80 and 1,995.46

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Solution

The fourth proportional to 4,917.14, 7,378.80 and 1,995.46 is: 2,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.14 : 7,378.80 = 1,995.46 : x
  2. Step 2: Convert to fraction form
    4,917.14/7,378.80 = 1,995.46/x
  3. Step 3: Cross multiply
    4,917.14x = 7,378.80 × 1,995.46
  4. Step 4: Simplify right side
    4,917.14x = 14,724,100.25
  5. Step 5: Solve for x
    x = 14,724,100.25/4,917.14
  6. Step 6: Final answer
    x = 2,994.44

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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.