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Finding the Fourth Proportional to 4,335.47, 5,989.07 and 3,450.14

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Solution

The fourth proportional to 4,335.47, 5,989.07 and 3,450.14 is: 4,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.47 : 5,989.07 = 3,450.14 : x
  2. Step 2: Convert to fraction form
    4,335.47/5,989.07 = 3,450.14/x
  3. Step 3: Cross multiply
    4,335.47x = 5,989.07 × 3,450.14
  4. Step 4: Simplify right side
    4,335.47x = 20,663,129.97
  5. Step 5: Solve for x
    x = 20,663,129.97/4,335.47
  6. Step 6: Final answer
    x = 4,766.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.