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Finding the Fourth Proportional to 5,097.57, 7,027.20 and 3,602.85

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Solution

The fourth proportional to 5,097.57, 7,027.20 and 3,602.85 is: 4,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.57 : 7,027.20 = 3,602.85 : x
  2. Step 2: Convert to fraction form
    5,097.57/7,027.20 = 3,602.85/x
  3. Step 3: Cross multiply
    5,097.57x = 7,027.20 × 3,602.85
  4. Step 4: Simplify right side
    5,097.57x = 25,317,947.52
  5. Step 5: Solve for x
    x = 25,317,947.52/5,097.57
  6. Step 6: Final answer
    x = 4,966.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.