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Finding the Fourth Proportional to 3,716.67, 5,575.12 and 1,377.26

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Solution

The fourth proportional to 3,716.67, 5,575.12 and 1,377.26 is: 2,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.67 : 5,575.12 = 1,377.26 : x
  2. Step 2: Convert to fraction form
    3,716.67/5,575.12 = 1,377.26/x
  3. Step 3: Cross multiply
    3,716.67x = 5,575.12 × 1,377.26
  4. Step 4: Simplify right side
    3,716.67x = 7,678,389.77
  5. Step 5: Solve for x
    x = 7,678,389.77/3,716.67
  6. Step 6: Final answer
    x = 2,065.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.