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Finding the Fourth Proportional to 3,716.73, 5,575.50 and 1,376.46

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Solution

The fourth proportional to 3,716.73, 5,575.50 and 1,376.46 is: 2,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.73 : 5,575.50 = 1,376.46 : x
  2. Step 2: Convert to fraction form
    3,716.73/5,575.50 = 1,376.46/x
  3. Step 3: Cross multiply
    3,716.73x = 5,575.50 × 1,376.46
  4. Step 4: Simplify right side
    3,716.73x = 7,674,452.73
  5. Step 5: Solve for x
    x = 7,674,452.73/3,716.73
  6. Step 6: Final answer
    x = 2,064.84

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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.