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Finding the Fourth Proportional to 5,699.87, 7,862.27 and 3,459.56

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Solution

The fourth proportional to 5,699.87, 7,862.27 and 3,459.56 is: 4,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.87 : 7,862.27 = 3,459.56 : x
  2. Step 2: Convert to fraction form
    5,699.87/7,862.27 = 3,459.56/x
  3. Step 3: Cross multiply
    5,699.87x = 7,862.27 × 3,459.56
  4. Step 4: Simplify right side
    5,699.87x = 27,199,982.42
  5. Step 5: Solve for x
    x = 27,199,982.42/5,699.87
  6. Step 6: Final answer
    x = 4,772.04

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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.