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Finding the Fourth Proportional to 2,988.86, 4,120.97 and 2,584.35

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Solution

The fourth proportional to 2,988.86, 4,120.97 and 2,584.35 is: 3,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.86 : 4,120.97 = 2,584.35 : x
  2. Step 2: Convert to fraction form
    2,988.86/4,120.97 = 2,584.35/x
  3. Step 3: Cross multiply
    2,988.86x = 4,120.97 × 2,584.35
  4. Step 4: Simplify right side
    2,988.86x = 10,650,015.90
  5. Step 5: Solve for x
    x = 10,650,015.90/2,988.86
  6. Step 6: Final answer
    x = 3,563.24

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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.