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Finding the Fourth Proportional to 3,458.70, 4,768.07 and 2,131.52

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Solution

The fourth proportional to 3,458.70, 4,768.07 and 2,131.52 is: 2,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.70 : 4,768.07 = 2,131.52 : x
  2. Step 2: Convert to fraction form
    3,458.70/4,768.07 = 2,131.52/x
  3. Step 3: Cross multiply
    3,458.70x = 4,768.07 × 2,131.52
  4. Step 4: Simplify right side
    3,458.70x = 10,163,202.07
  5. Step 5: Solve for x
    x = 10,163,202.07/3,458.70
  6. Step 6: Final answer
    x = 2,938.45

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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.