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Finding the Fourth Proportional to 2,989.92, 4,462.32 and 2,912.16

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Solution

The fourth proportional to 2,989.92, 4,462.32 and 2,912.16 is: 4,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.92 : 4,462.32 = 2,912.16 : x
  2. Step 2: Convert to fraction form
    2,989.92/4,462.32 = 2,912.16/x
  3. Step 3: Cross multiply
    2,989.92x = 4,462.32 × 2,912.16
  4. Step 4: Simplify right side
    2,989.92x = 12,994,989.81
  5. Step 5: Solve for x
    x = 12,994,989.81/2,989.92
  6. Step 6: Final answer
    x = 4,346.27

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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.