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Finding the Fourth Proportional to 3,814.56, 5,710.91 and 2,837.70

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Solution

The fourth proportional to 3,814.56, 5,710.91 and 2,837.70 is: 4,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.56 : 5,710.91 = 2,837.70 : x
  2. Step 2: Convert to fraction form
    3,814.56/5,710.91 = 2,837.70/x
  3. Step 3: Cross multiply
    3,814.56x = 5,710.91 × 2,837.70
  4. Step 4: Simplify right side
    3,814.56x = 16,205,835.12
  5. Step 5: Solve for x
    x = 16,205,835.12/3,814.56
  6. Step 6: Final answer
    x = 4,248.42

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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.