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Finding the Fourth Proportional to 3,470.93, 4,788.52 and 2,142.33

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Solution

The fourth proportional to 3,470.93, 4,788.52 and 2,142.33 is: 2,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.93 : 4,788.52 = 2,142.33 : x
  2. Step 2: Convert to fraction form
    3,470.93/4,788.52 = 2,142.33/x
  3. Step 3: Cross multiply
    3,470.93x = 4,788.52 × 2,142.33
  4. Step 4: Simplify right side
    3,470.93x = 10,258,555.40
  5. Step 5: Solve for x
    x = 10,258,555.40/3,470.93
  6. Step 6: Final answer
    x = 2,955.56

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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.