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Finding the Fourth Proportional to 4,113.15, 5,673.04 and 2,854.21

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Solution

The fourth proportional to 4,113.15, 5,673.04 and 2,854.21 is: 3,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.15 : 5,673.04 = 2,854.21 : x
  2. Step 2: Convert to fraction form
    4,113.15/5,673.04 = 2,854.21/x
  3. Step 3: Cross multiply
    4,113.15x = 5,673.04 × 2,854.21
  4. Step 4: Simplify right side
    4,113.15x = 16,192,047.50
  5. Step 5: Solve for x
    x = 16,192,047.50/4,113.15
  6. Step 6: Final answer
    x = 3,936.65

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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.