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Finding the Fourth Proportional to 5,124.42, 7,679.16 and 2,782.44

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Solution

The fourth proportional to 5,124.42, 7,679.16 and 2,782.44 is: 4,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.42 : 7,679.16 = 2,782.44 : x
  2. Step 2: Convert to fraction form
    5,124.42/7,679.16 = 2,782.44/x
  3. Step 3: Cross multiply
    5,124.42x = 7,679.16 × 2,782.44
  4. Step 4: Simplify right side
    5,124.42x = 21,366,801.95
  5. Step 5: Solve for x
    x = 21,366,801.95/5,124.42
  6. Step 6: Final answer
    x = 4,169.60

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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.