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Finding the Fourth Proportional to 4,529.99, 6,796.05 and 1,409.84

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Solution

The fourth proportional to 4,529.99, 6,796.05 and 1,409.84 is: 2,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.99 : 6,796.05 = 1,409.84 : x
  2. Step 2: Convert to fraction form
    4,529.99/6,796.05 = 1,409.84/x
  3. Step 3: Cross multiply
    4,529.99x = 6,796.05 × 1,409.84
  4. Step 4: Simplify right side
    4,529.99x = 9,581,343.13
  5. Step 5: Solve for x
    x = 9,581,343.13/4,529.99
  6. Step 6: Final answer
    x = 2,115.09

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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.