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Finding the Fourth Proportional to 4,847.34, 6,689.49 and 2,859.60

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Solution

The fourth proportional to 4,847.34, 6,689.49 and 2,859.60 is: 3,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.34 : 6,689.49 = 2,859.60 : x
  2. Step 2: Convert to fraction form
    4,847.34/6,689.49 = 2,859.60/x
  3. Step 3: Cross multiply
    4,847.34x = 6,689.49 × 2,859.60
  4. Step 4: Simplify right side
    4,847.34x = 19,129,279.97
  5. Step 5: Solve for x
    x = 19,129,279.97/4,847.34
  6. Step 6: Final answer
    x = 3,946.34

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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.