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Finding the Fourth Proportional to 4,346.47, 5,998.14 and 2,578.41

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Solution

The fourth proportional to 4,346.47, 5,998.14 and 2,578.41 is: 3,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.47 : 5,998.14 = 2,578.41 : x
  2. Step 2: Convert to fraction form
    4,346.47/5,998.14 = 2,578.41/x
  3. Step 3: Cross multiply
    4,346.47x = 5,998.14 × 2,578.41
  4. Step 4: Simplify right side
    4,346.47x = 15,465,664.16
  5. Step 5: Solve for x
    x = 15,465,664.16/4,346.47
  6. Step 6: Final answer
    x = 3,558.21

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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.