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Finding the Fourth Proportional to 3,446.99, 4,744.83 and 3,004.13

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Solution

The fourth proportional to 3,446.99, 4,744.83 and 3,004.13 is: 4,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.99 : 4,744.83 = 3,004.13 : x
  2. Step 2: Convert to fraction form
    3,446.99/4,744.83 = 3,004.13/x
  3. Step 3: Cross multiply
    3,446.99x = 4,744.83 × 3,004.13
  4. Step 4: Simplify right side
    3,446.99x = 14,254,062.42
  5. Step 5: Solve for x
    x = 14,254,062.42/3,446.99
  6. Step 6: Final answer
    x = 4,135.23

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