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Finding the Fourth Proportional to 4,199.62, 5,797.06 and 3,154.70

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Solution

The fourth proportional to 4,199.62, 5,797.06 and 3,154.70 is: 4,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.62 : 5,797.06 = 3,154.70 : x
  2. Step 2: Convert to fraction form
    4,199.62/5,797.06 = 3,154.70/x
  3. Step 3: Cross multiply
    4,199.62x = 5,797.06 × 3,154.70
  4. Step 4: Simplify right side
    4,199.62x = 18,287,985.18
  5. Step 5: Solve for x
    x = 18,287,985.18/4,199.62
  6. Step 6: Final answer
    x = 4,354.68

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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.