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Finding the Fourth Proportional to 4,847.87, 7,270.16 and 1,560.12

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Solution

The fourth proportional to 4,847.87, 7,270.16 and 1,560.12 is: 2,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.87 : 7,270.16 = 1,560.12 : x
  2. Step 2: Convert to fraction form
    4,847.87/7,270.16 = 1,560.12/x
  3. Step 3: Cross multiply
    4,847.87x = 7,270.16 × 1,560.12
  4. Step 4: Simplify right side
    4,847.87x = 11,342,314.22
  5. Step 5: Solve for x
    x = 11,342,314.22/4,847.87
  6. Step 6: Final answer
    x = 2,339.65

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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.