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Finding the Fourth Proportional to 4,208.64, 5,806.02 and 2,862.60

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Solution

The fourth proportional to 4,208.64, 5,806.02 and 2,862.60 is: 3,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.64 : 5,806.02 = 2,862.60 : x
  2. Step 2: Convert to fraction form
    4,208.64/5,806.02 = 2,862.60/x
  3. Step 3: Cross multiply
    4,208.64x = 5,806.02 × 2,862.60
  4. Step 4: Simplify right side
    4,208.64x = 16,620,312.85
  5. Step 5: Solve for x
    x = 16,620,312.85/4,208.64
  6. Step 6: Final answer
    x = 3,949.09

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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.