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Finding the Fourth Proportional to 5,265.56, 7,900.65 and 2,494.22

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Solution

The fourth proportional to 5,265.56, 7,900.65 and 2,494.22 is: 3,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.56 : 7,900.65 = 2,494.22 : x
  2. Step 2: Convert to fraction form
    5,265.56/7,900.65 = 2,494.22/x
  3. Step 3: Cross multiply
    5,265.56x = 7,900.65 × 2,494.22
  4. Step 4: Simplify right side
    5,265.56x = 19,705,919.74
  5. Step 5: Solve for x
    x = 19,705,919.74/5,265.56
  6. Step 6: Final answer
    x = 3,742.41

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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.