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Finding the Fourth Proportional to 2,989.78, 4,477.71 and 2,885.96

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Solution

The fourth proportional to 2,989.78, 4,477.71 and 2,885.96 is: 4,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.78 : 4,477.71 = 2,885.96 : x
  2. Step 2: Convert to fraction form
    2,989.78/4,477.71 = 2,885.96/x
  3. Step 3: Cross multiply
    2,989.78x = 4,477.71 × 2,885.96
  4. Step 4: Simplify right side
    2,989.78x = 12,922,513.97
  5. Step 5: Solve for x
    x = 12,922,513.97/2,989.78
  6. Step 6: Final answer
    x = 4,322.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.