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Finding the Fourth Proportional to 4,012.96, 5,538.08 and 2,834.40

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Solution

The fourth proportional to 4,012.96, 5,538.08 and 2,834.40 is: 3,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.96 : 5,538.08 = 2,834.40 : x
  2. Step 2: Convert to fraction form
    4,012.96/5,538.08 = 2,834.40/x
  3. Step 3: Cross multiply
    4,012.96x = 5,538.08 × 2,834.40
  4. Step 4: Simplify right side
    4,012.96x = 15,697,133.95
  5. Step 5: Solve for x
    x = 15,697,133.95/4,012.96
  6. Step 6: Final answer
    x = 3,911.61

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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.