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Finding the Fourth Proportional to 5,690.81, 8,526.83 and 3,494.90

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Solution

The fourth proportional to 5,690.81, 8,526.83 and 3,494.90 is: 5,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.81 : 8,526.83 = 3,494.90 : x
  2. Step 2: Convert to fraction form
    5,690.81/8,526.83 = 3,494.90/x
  3. Step 3: Cross multiply
    5,690.81x = 8,526.83 × 3,494.90
  4. Step 4: Simplify right side
    5,690.81x = 29,800,358.06
  5. Step 5: Solve for x
    x = 29,800,358.06/5,690.81
  6. Step 6: Final answer
    x = 5,236.58

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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.