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Finding the Fourth Proportional to 4,540.02, 6,813.65 and 3,089.30

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Solution

The fourth proportional to 4,540.02, 6,813.65 and 3,089.30 is: 4,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.02 : 6,813.65 = 3,089.30 : x
  2. Step 2: Convert to fraction form
    4,540.02/6,813.65 = 3,089.30/x
  3. Step 3: Cross multiply
    4,540.02x = 6,813.65 × 3,089.30
  4. Step 4: Simplify right side
    4,540.02x = 21,049,408.95
  5. Step 5: Solve for x
    x = 21,049,408.95/4,540.02
  6. Step 6: Final answer
    x = 4,636.41

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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.