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Finding the Fourth Proportional to 5,690.58, 7,850.82 and 4,202.04

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Solution

The fourth proportional to 5,690.58, 7,850.82 and 4,202.04 is: 5,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.58 : 7,850.82 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    5,690.58/7,850.82 = 4,202.04/x
  3. Step 3: Cross multiply
    5,690.58x = 7,850.82 × 4,202.04
  4. Step 4: Simplify right side
    5,690.58x = 32,989,459.67
  5. Step 5: Solve for x
    x = 32,989,459.67/5,690.58
  6. Step 6: Final answer
    x = 5,797.21

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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.