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Finding the Fourth Proportional to 3,954.34, 5,900.80 and 3,429.46

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Solution

The fourth proportional to 3,954.34, 5,900.80 and 3,429.46 is: 5,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.34 : 5,900.80 = 3,429.46 : x
  2. Step 2: Convert to fraction form
    3,954.34/5,900.80 = 3,429.46/x
  3. Step 3: Cross multiply
    3,954.34x = 5,900.80 × 3,429.46
  4. Step 4: Simplify right side
    3,954.34x = 20,236,510.92
  5. Step 5: Solve for x
    x = 20,236,510.92/3,954.34
  6. Step 6: Final answer
    x = 5,117.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.