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Finding the Fourth Proportional to 6,102.87, 9,153.49 and 1,720.70

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Solution

The fourth proportional to 6,102.87, 9,153.49 and 1,720.70 is: 2,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.87 : 9,153.49 = 1,720.70 : x
  2. Step 2: Convert to fraction form
    6,102.87/9,153.49 = 1,720.70/x
  3. Step 3: Cross multiply
    6,102.87x = 9,153.49 × 1,720.70
  4. Step 4: Simplify right side
    6,102.87x = 15,750,410.24
  5. Step 5: Solve for x
    x = 15,750,410.24/6,102.87
  6. Step 6: Final answer
    x = 2,580.82

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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.