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Finding the Fourth Proportional to 4,978.72, 7,469.34 and 1,516

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Solution

The fourth proportional to 4,978.72, 7,469.34 and 1,516 is: 2,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.72 : 7,469.34 = 1,516 : x
  2. Step 2: Convert to fraction form
    4,978.72/7,469.34 = 1,516/x
  3. Step 3: Cross multiply
    4,978.72x = 7,469.34 × 1,516
  4. Step 4: Simplify right side
    4,978.72x = 11,323,519.44
  5. Step 5: Solve for x
    x = 11,323,519.44/4,978.72
  6. Step 6: Final answer
    x = 2,274.38

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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.