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Finding the Fourth Proportional to 4,964.87, 7,409.60 and 4,763.94

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Solution

The fourth proportional to 4,964.87, 7,409.60 and 4,763.94 is: 7,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.87 : 7,409.60 = 4,763.94 : x
  2. Step 2: Convert to fraction form
    4,964.87/7,409.60 = 4,763.94/x
  3. Step 3: Cross multiply
    4,964.87x = 7,409.60 × 4,763.94
  4. Step 4: Simplify right side
    4,964.87x = 35,298,866.00
  5. Step 5: Solve for x
    x = 35,298,866.00/4,964.87
  6. Step 6: Final answer
    x = 7,109.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.