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Finding the Fourth Proportional to 5,063.14, 7,591.87 and 1,774.95

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Solution

The fourth proportional to 5,063.14, 7,591.87 and 1,774.95 is: 2,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.14 : 7,591.87 = 1,774.95 : x
  2. Step 2: Convert to fraction form
    5,063.14/7,591.87 = 1,774.95/x
  3. Step 3: Cross multiply
    5,063.14x = 7,591.87 × 1,774.95
  4. Step 4: Simplify right side
    5,063.14x = 13,475,189.66
  5. Step 5: Solve for x
    x = 13,475,189.66/5,063.14
  6. Step 6: Final answer
    x = 2,661.43

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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.