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Finding the Fourth Proportional to 5,922.64, 8,886.20 and 2,638.80

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Solution

The fourth proportional to 5,922.64, 8,886.20 and 2,638.80 is: 3,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.64 : 8,886.20 = 2,638.80 : x
  2. Step 2: Convert to fraction form
    5,922.64/8,886.20 = 2,638.80/x
  3. Step 3: Cross multiply
    5,922.64x = 8,886.20 × 2,638.80
  4. Step 4: Simplify right side
    5,922.64x = 23,448,904.56
  5. Step 5: Solve for x
    x = 23,448,904.56/5,922.64
  6. Step 6: Final answer
    x = 3,959.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.