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Finding the Fourth Proportional to 4,118.62, 5,684.16 and 2,859.34

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Solution

The fourth proportional to 4,118.62, 5,684.16 and 2,859.34 is: 3,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.62 : 5,684.16 = 2,859.34 : x
  2. Step 2: Convert to fraction form
    4,118.62/5,684.16 = 2,859.34/x
  3. Step 3: Cross multiply
    4,118.62x = 5,684.16 × 2,859.34
  4. Step 4: Simplify right side
    4,118.62x = 16,252,946.05
  5. Step 5: Solve for x
    x = 16,252,946.05/4,118.62
  6. Step 6: Final answer
    x = 3,946.21

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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.