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Finding the Fourth Proportional to 5,374.14, 8,050.14 and 4,759.44

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Solution

The fourth proportional to 5,374.14, 8,050.14 and 4,759.44 is: 7,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.14 : 8,050.14 = 4,759.44 : x
  2. Step 2: Convert to fraction form
    5,374.14/8,050.14 = 4,759.44/x
  3. Step 3: Cross multiply
    5,374.14x = 8,050.14 × 4,759.44
  4. Step 4: Simplify right side
    5,374.14x = 38,314,158.32
  5. Step 5: Solve for x
    x = 38,314,158.32/5,374.14
  6. Step 6: Final answer
    x = 7,129.36

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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.