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Finding the Fourth Proportional to 5,214.76, 7,820.31 and 1,516

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Solution

The fourth proportional to 5,214.76, 7,820.31 and 1,516 is: 2,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.76 : 7,820.31 = 1,516 : x
  2. Step 2: Convert to fraction form
    5,214.76/7,820.31 = 1,516/x
  3. Step 3: Cross multiply
    5,214.76x = 7,820.31 × 1,516
  4. Step 4: Simplify right side
    5,214.76x = 11,855,589.96
  5. Step 5: Solve for x
    x = 11,855,589.96/5,214.76
  6. Step 6: Final answer
    x = 2,273.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.