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Finding the Fourth Proportional to 5,122.80, 7,682.85 and 1,612.80

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Solution

The fourth proportional to 5,122.80, 7,682.85 and 1,612.80 is: 2,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.80 : 7,682.85 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    5,122.80/7,682.85 = 1,612.80/x
  3. Step 3: Cross multiply
    5,122.80x = 7,682.85 × 1,612.80
  4. Step 4: Simplify right side
    5,122.80x = 12,390,900.48
  5. Step 5: Solve for x
    x = 12,390,900.48/5,122.80
  6. Step 6: Final answer
    x = 2,418.77

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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.