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Finding the Fourth Proportional to 4,199.70, 5,799.72 and 3,806.04

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Solution

The fourth proportional to 4,199.70, 5,799.72 and 3,806.04 is: 5,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.70 : 5,799.72 = 3,806.04 : x
  2. Step 2: Convert to fraction form
    4,199.70/5,799.72 = 3,806.04/x
  3. Step 3: Cross multiply
    4,199.70x = 5,799.72 × 3,806.04
  4. Step 4: Simplify right side
    4,199.70x = 22,073,966.31
  5. Step 5: Solve for x
    x = 22,073,966.31/4,199.70
  6. Step 6: Final answer
    x = 5,256.08

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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.