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Finding the Fourth Proportional to 3,419.94, 4,719.54 and 2,004.46

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Solution

The fourth proportional to 3,419.94, 4,719.54 and 2,004.46 is: 2,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.94 : 4,719.54 = 2,004.46 : x
  2. Step 2: Convert to fraction form
    3,419.94/4,719.54 = 2,004.46/x
  3. Step 3: Cross multiply
    3,419.94x = 4,719.54 × 2,004.46
  4. Step 4: Simplify right side
    3,419.94x = 9,460,129.15
  5. Step 5: Solve for x
    x = 9,460,129.15/3,419.94
  6. Step 6: Final answer
    x = 2,766.17

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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.