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Finding the Fourth Proportional to 5,017.72, 7,515.66 and 3,064

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Solution

The fourth proportional to 5,017.72, 7,515.66 and 3,064 is: 4,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.72 : 7,515.66 = 3,064 : x
  2. Step 2: Convert to fraction form
    5,017.72/7,515.66 = 3,064/x
  3. Step 3: Cross multiply
    5,017.72x = 7,515.66 × 3,064
  4. Step 4: Simplify right side
    5,017.72x = 23,027,982.24
  5. Step 5: Solve for x
    x = 23,027,982.24/5,017.72
  6. Step 6: Final answer
    x = 4,589.33

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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.