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Finding the Fourth Proportional to 4,113.95, 5,672.34 and 2,854.04

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Solution

The fourth proportional to 4,113.95, 5,672.34 and 2,854.04 is: 3,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.95 : 5,672.34 = 2,854.04 : x
  2. Step 2: Convert to fraction form
    4,113.95/5,672.34 = 2,854.04/x
  3. Step 3: Cross multiply
    4,113.95x = 5,672.34 × 2,854.04
  4. Step 4: Simplify right side
    4,113.95x = 16,189,056.89
  5. Step 5: Solve for x
    x = 16,189,056.89/4,113.95
  6. Step 6: Final answer
    x = 3,935.17

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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.