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Finding the Fourth Proportional to 4,991.05, 7,486.52 and 1,913.05

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Solution

The fourth proportional to 4,991.05, 7,486.52 and 1,913.05 is: 2,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.05 : 7,486.52 = 1,913.05 : x
  2. Step 2: Convert to fraction form
    4,991.05/7,486.52 = 1,913.05/x
  3. Step 3: Cross multiply
    4,991.05x = 7,486.52 × 1,913.05
  4. Step 4: Simplify right side
    4,991.05x = 14,322,087.09
  5. Step 5: Solve for x
    x = 14,322,087.09/4,991.05
  6. Step 6: Final answer
    x = 2,869.55

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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.