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Finding the Fourth Proportional to 3,470.71, 4,782.49 and 2,473.87

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Solution

The fourth proportional to 3,470.71, 4,782.49 and 2,473.87 is: 3,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.71 : 4,782.49 = 2,473.87 : x
  2. Step 2: Convert to fraction form
    3,470.71/4,782.49 = 2,473.87/x
  3. Step 3: Cross multiply
    3,470.71x = 4,782.49 × 2,473.87
  4. Step 4: Simplify right side
    3,470.71x = 11,831,258.54
  5. Step 5: Solve for x
    x = 11,831,258.54/3,470.71
  6. Step 6: Final answer
    x = 3,408.89

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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.