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Finding the Fourth Proportional to 5,617.60, 7,753.83 and 3,260.50

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Solution

The fourth proportional to 5,617.60, 7,753.83 and 3,260.50 is: 4,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.60 : 7,753.83 = 3,260.50 : x
  2. Step 2: Convert to fraction form
    5,617.60/7,753.83 = 3,260.50/x
  3. Step 3: Cross multiply
    5,617.60x = 7,753.83 × 3,260.50
  4. Step 4: Simplify right side
    5,617.60x = 25,281,362.72
  5. Step 5: Solve for x
    x = 25,281,362.72/5,617.60
  6. Step 6: Final answer
    x = 4,500.38

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Why These Related Problems?

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