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Finding the Fourth Proportional to 5,698.66, 8,523.30 and 3,353.08

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Solution

The fourth proportional to 5,698.66, 8,523.30 and 3,353.08 is: 5,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.66 : 8,523.30 = 3,353.08 : x
  2. Step 2: Convert to fraction form
    5,698.66/8,523.30 = 3,353.08/x
  3. Step 3: Cross multiply
    5,698.66x = 8,523.30 × 3,353.08
  4. Step 4: Simplify right side
    5,698.66x = 28,579,306.76
  5. Step 5: Solve for x
    x = 28,579,306.76/5,698.66
  6. Step 6: Final answer
    x = 5,015.09

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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.